Edit Profile (opens in new tab) Michor, Peter Wolfram Co-Author Distance Author ID: michor.peter-w Published as: Michor, Peter W.; Michor, P. W.; Michor, P.; Michor, Peter; Michor, W Peter. more...less Homepage: http://www.mat.univie.ac.at/~michor/ External Links: MGP · ORCID · Wikidata · ResearchGate · MathOverflow · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 172 Publications since 1974, including 10 Books and 14 Additional arXiv Preprints 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 79 Reviews Co-Authors: 77 Co-Authors with 134 Joint Publications 1,904 Co-Co-Authors all top 5 Co-Authors 41 single-authored 28 Kriegl, Andreas 23 Bauer, Martin 16 Losik, Mark V. 15 Bruveris, Martins 15 Rainer, Armin 14 Alekseevskiĭ, Dmitriĭ Vladimirovich 13 Harms, Philipp 9 Mumford, David Bryant 6 Dubois-Violette, Michel 6 Marmo, Giuseppe 5 Grabowski, Janusz 4 Ruppert, Wolfgang A. F. 3 Čap, Andreas 3 Gil-Medrano, Olga 3 Kamber, Franz W. 3 Kolář, Ivan 3 Sigmund, Karl 3 Slovák, Jan 3 Vanžura, Jiří 2 Abbati, Maria Cristina 2 Cirelli, Renzo 2 Kainz, Gerd 2 Khesin, Boris A. 2 Maeda, Yoshiaki 2 Manià, Alessandro 2 Marsland, Stephen R. 2 Micheli, Mario 2 Neretin, Yuriĭ Aleksandrovich 2 Pennec, Xavier 2 Popov, Vladimir Leonidovich 2 Ratiu, Tudor Stefan 2 Schichl, Hermann 2 Schicketanz, Hubert 2 Sigmund, Anna Maria 2 Sommer, Stefan 1 Agricola, Ilka 1 Andai, Attila 1 Canarutto, Daniel 1 Cervera, Vicente 1 Charon, Nicolas 1 Chruściel, Piotr Tadeusz 1 Cigler, Johann 1 Cooper, James Bell 1 Delay, Erwann 1 Eastwood, Michael G. 1 Gindikin, Simon Grigorevich 1 Götze, Friedrich 1 Grötschel, Martin 1 Hoffmann-Ostenhof, Thomas 1 Hulek, Klaus 1 Ishida, Sadashige 1 Ismagilov, Rais Sal’manovich 1 Klassen, Eric Paul 1 Klinger, Paul 1 Kodama, Hiroki 1 Kostant, Bertram 1 Kriegl, P. 1 Le Brigant, Alice 1 Lecomte, P. A. B. 1 Losert, Viktor 1 Maignant, Elodie 1 Maor, Cy 1 Mascaro, Francisca 1 Mauhart, Markus 1 Michor, Johanna 1 Nadirashvili, Nikolai S. 1 Nebe, Gabriele 1 Neuwirther, Martin 1 Ochiai, Takushiro 1 Parusiński, Adam 1 Petz, Dénes 1 Preston, Stephen C. 1 Prömel, Hans Jürgen 1 Schachermayer, Walter 1 Shah, Jayant 1 Teichmann, Josef 1 Vaisman, Izu 1 Vialard, François-Xavier 1 Vinogradov, Aleksandr Mikhaĭlovich 1 Vizman, Cornelia 1 Vygen, Jens 1 Wegenkittl, K. 1 Woeginger, Gerhard 1 Yoshioka, Akira 1 Younes, Laurent all top 5 Serials 8 Annals of Global Analysis and Geometry 8 Differential Geometry and its Applications 8 Journal of Lie Theory 6 Cahiers de Topologie et Géométrie Différentielle Catégoriques 4 Journal of Geometry and Physics 4 Archivum Mathematicum 4 Proceedings of the American Mathematical Society 4 Internationale Mathematische Nachrichten 4 Acta Mathematica Universitatis Comenianae. New Series 4 Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte. Abteilung II 4 Journal of Geometric Mechanics 3 Israel Journal of Mathematics 3 Journal of Pure and Applied Algebra 3 Revista Matemática Complutense 2 Journal of Mathematical Physics 2 Letters in Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Publicationes Mathematicae Debrecen 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Rendiconti del Seminario Matematico 2 Indagationes Mathematicae. New Series 2 Electronic Research Announcements of the American Mathematical Society 2 SIAM Journal on Imaging Sciences 1 Modern Physics Letters A 1 Communications in Mathematical Physics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal of Combinatorics, Information & System Sciences 1 Journal of Differential Geometry 1 Mathematische Nachrichten 1 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Geometric and Functional Analysis. GAFA 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Transformation Groups 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the European Mathematical Society (JEMS) 1 Moscow Mathematical Journal 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Geometric Methods in Modern Physics 1 Conference Proceedings and Lecture Notes in Mathematical Physics 1 Graduate Studies in Mathematics 1 Lecture Notes in Mathematics 1 Lecture Notes in Pure and Applied Mathematics 1 Mathematical Surveys and Monographs 1 Monografii Matematice (Timișoara) 1 Progress in Mathematics 1 Shiva Mathematics Series 1 Forum of Mathematics, Sigma 1 Abhandlungen der Akademie der Wissenschaften der DDR 1 Geometry, Imaging and Computing 1 Mathematik im Kontext 1 Monographs and Textbooks in Physical Science. Lecture Notes all top 5 Fields 91 Global analysis, analysis on manifolds (58-XX) 47 Differential geometry (53-XX) 32 Functional analysis (46-XX) 24 Topological groups, Lie groups (22-XX) 18 Partial differential equations (35-XX) 17 Nonassociative rings and algebras (17-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Operator theory (47-XX) 10 Group theory and generalizations (20-XX) 10 Manifolds and cell complexes (57-XX) 9 Real functions (26-XX) 7 History and biography (01-XX) 7 Category theory; homological algebra (18-XX) 6 General topology (54-XX) 6 Quantum theory (81-XX) 5 Algebraic geometry (14-XX) 5 Associative rings and algebras (16-XX) 3 General and overarching topics; collections (00-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 140 Publications have been cited 3,210 times in 1,975 Documents Cited by ▼ Year ▼ Natural operations in differential geometry. Zbl 0782.53013 Kolář, Ivan; Michor, Peter W.; Slovák, Jan 498 1993 The convenient setting of global analysis. Zbl 0889.58001 Kriegl, Andreas; Michor, Peter W. 479 1997 Manifolds of differentiable mappings. Zbl 0433.58001 Michor, P. W. 147 1980 Topics in differential geometry. Zbl 1175.53002 Michor, Peter W. 139 2008 Riemannian geometries on spaces of plane curves. Zbl 1101.58005 Michor, Peter W.; Mumford, David 127 2006 An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007 Michor, Peter W.; Mumford, David 100 2007 Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010 Michor, Peter W.; Mumford, David 84 2005 A metric on shape space with explicit geodesics. Zbl 1142.58013 Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David 81 2008 Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 76 2014 Connections on central bimodules in noncommutative differential geometry. Zbl 0867.53023 Dubois-Violette, Michel; Michor, Peter W. 69 1996 The Riemannian manifold of all Riemannian metrics. Zbl 0739.58010 Gil-Medrano, Olga; Michor, Peter W. 52 1991 Sobolev metrics on shape space of surfaces. Zbl 1262.58004 Bauer, Martin; Harms, Philipp; Michor, Peter W. 52 2011 Choosing roots of polynomials smoothly. Zbl 0912.26006 Alekseevsky, Dmitri; Kriegl, Andreas; Michor, Peter W.; Losik, Mark 38 1998 Constructing reparameterization invariant metrics on spaces of plane curves. Zbl 1291.58002 Bauer, Martin; Bruveris, Martins; Marsland, Stephen; Michor, Peter W. 36 2014 Banach modules and functors on categories of Banach spaces. Zbl 0411.46044 Cigler, Johann; Losert, Viktor; Michor, Peter 36 1979 The convenient setting for real analytic mappings. Zbl 0738.46024 Kriegl, A.; Michor, P. W. 34 1990 Uniqueness of the Fisher-Rao metric on the space of smooth densities. Zbl 1347.58001 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 33 2016 Extensions of super Lie algebras. Zbl 1098.17014 Alekseevsky, Dmitri; Michor, Peter W.; Ruppert, W. A. F. 32 2005 Regular infinite dimensional Lie groups. Zbl 0893.22012 Kriegl, Andreas; Michor, Peter W. 30 1997 Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009 Bruveris, Martins; Michor, Peter W.; Mumford, David 29 2014 The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1178.46039 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 28 2009 On Euler’s equation and ‘EPDiff’. Zbl 1274.35277 Mumford, David; Michor, Peter W. 26 2013 Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. Zbl 1246.58005 Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 26 2012 Some geometric evolution equations arising as geodesic equations on groups of diffeomorphisms including the Hamiltonian approach. Zbl 1221.58006 Michor, Peter W. 25 2006 Derivations and non-commutative differential calculus. II. (Dérivations et calcul différentiel non commutatif. II.) Zbl 0829.16028 Dubois-Violette, Michel; Michor, Peter W. 24 1994 The action of the diffeomorphism group on the space of immersions. Zbl 0783.58012 Cervera, Vicente; Mascaró, Francisca; Michor, Peter W. 23 1991 Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Zbl 1288.35415 Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 23 2013 Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003 Bauer, Martin; Harms, Philipp; Michor, Peter W. 22 2012 A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009 Michor, Peter W.; Mumford, David 21 2013 The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1250.46018 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 21 2011 The Riemann geometry of orbit spaces – the metric, geodesics and integrable systems. Zbl 1026.57028 Alekseevsky, Dmitri; Kriegl, Andreas; Losik, Mark; Michor, Peter W. 21 2003 Natural transformations in differential geometry. Zbl 0654.58001 Kainz, Gerd; Michor, Peter W. 20 1987 The Lie group of automorphisms of a principal bundle. Zbl 0692.58010 Abbati, M. C.; Cirelli, R.; Mania’, A.; Michor, P. 18 1989 Sobolev metrics on the manifold of all Riemannian metrics. Zbl 1275.58007 Bauer, Martin; Harms, Philipp; Michor, Peter W. 18 2013 \(n\)-ary Lie and associative algebras. Zbl 0928.17029 Michor, P. W.; Vinogradov, A. M. 18 1996 Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005 Micheli, M.; Michor, P. W.; Mumford, D. 17 2013 Why use Sobolev metrics on the space of curves. Zbl 1338.65043 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 17 2016 The multigraded Nijenhuis-Richardson algebra, its universal property and applications. Zbl 0752.17019 Lecomte, P. A. B.; Michor, P. W.; Schicketanz, H. 16 1992 Almost local metrics on shape space of hypersurfaces in n-space. Zbl 1251.58002 Bauer, Martin; Harms, Philipp; Michor, Peter W. 16 2012 Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. Zbl 1309.35064 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 16 2014 Differentiable perturbation of unbounded operators. Zbl 1054.47014 Kriegl, Andreas; Michor, Peter W. 16 2003 Knit products of graded Lie algebras and groups. Zbl 0954.17508 Michor, Peter W. 15 1990 Homology and modular classes of Lie algebroids. Zbl 1141.17018 Grabowski, Janusz; Marmo, Giuseppe; Michor, Peter W. 15 2006 Poisson structures on double Lie groups. Zbl 1020.17016 Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W. 14 1998 Differential geometry of \(\mathfrak{g}\)-manifolds. Zbl 0854.53028 Alekseevsky, D. V.; Michor, Peter W. 14 1995 Gauge theory for fiber bundles. Zbl 0953.53001 Michor, Peter W. 14 1991 Sectional curvature in terms of the cometric, with applications to the Riemannian manifolds of landmarks. Zbl 1276.37047 Micheli, Mario; Michor, Peter W.; Mumford, David 14 2012 Remarks on the Frölicher-Nijenhuis bracket. Zbl 0633.53024 Michor, Peter W. 14 1987 An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\). Zbl 1316.58008 Kriegl, Andreas; Michor, W Peter.; Rainer, Armin 14 2015 Bounds on the multiplicity of eigenvalues for fixed membranes. Zbl 0949.35102 Hoffmann-Ostenhof, T.; Michor, P. W.; Nadirashvili, N. 13 1999 Remarks on the Schouten-Nijenhuis bracket. Zbl 0646.53013 Michor, Peter W. 13 1987 Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions. Zbl 0822.58016 Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W. 12 1994 Choosing roots of polynomials smoothly. II. Zbl 1071.26009 Kriegl, Andreas; Losik, Mark; Michor, Peter W. 12 2004 On the geometry of the Virasoro-Bott group. Zbl 0945.58005 Michor, P. W.; Ratiu, T. S. 12 1998 Manifolds of mappings for continuum mechanics. Zbl 1445.58002 Michor, Peter W. 12 2020 The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type. Zbl 1331.26050 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 12 2015 Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators. Zbl 1244.26028 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 12 2011 A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetric multivector fields. Zbl 0844.58002 Dubois-Violette, Michel; Michor, Peter W. 11 1995 Differential geometry of Cartan connections. Zbl 0857.53011 Alekseevsky, D. V.; Michor, P. W. 11 1995 Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II. Zbl 1290.35192 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 11 2013 Smoothness of the action of the gauge transformation group on connections. Zbl 0618.58040 Abbati, M. C.; Cirelli, R.; Manià, A.; Michor, P. 11 1986 A generalization of Hamiltonian mechanics. Zbl 0587.58004 Michor, Peter W. 11 1985 Smooth \(\star\)-algebras. Zbl 1026.46062 Dubois-Violette, Michel; Kriegl, Andreas; Maeda, Yoshiaki; Michor, Peter W. 10 2001 Aspects of the theory of infinite dimensional manifolds. Zbl 0782.58011 Kriegl, Andreas; Michor, Peter W. 10 1991 Manifolds of smooth maps III: The principal bundle of embeddings of a non-compact smooth manifold. Zbl 0442.58011 Michor, P. 10 1980 A 2-cocycle on a symplectomorphism group. Zbl 1132.53043 Ismagilov, Rais S.; Losik, Mark; Michor, Peter W. 10 2006 A convenient setting for differential geometry and global analysis. Zbl 0548.58001 Michor, Peter 9 1984 \(R\)-transforms for Sobolev \(H^2\)-metrics on spaces of plane curves. Zbl 1315.35149 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 9 2014 Manifolds of smooth maps, II: The Lie group of diffeomorphisms of a non- compact smooth manifold. Zbl 0434.58011 Michor, P. 9 1980 More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry. Zbl 0889.58011 Dubois-Violette, Michel; Michor, Peter W. 8 1997 Reflection groups on Riemannian manifolds. Zbl 1232.51010 Alekseevsky, Dmitri V.; Kriegl, Andreas; Losik, Mark; Michor, Peter W. 8 2007 Functors and categories of Banach spaces. Tensor products, operator ideals and functors on categories of Banach spaces. Zbl 0369.46069 Michor, Peter W. 8 1978 Characters on algebras of smooth functions. Zbl 0691.58020 Kriegl, A.; Michor, P.; Schachermayer, W. 8 1989 Manifolds of smooth maps. IV: Theorem of de Rham. Zbl 0508.58012 Michor, P. 8 1983 Basic differential forms for actions of Lie groups. Zbl 0858.57038 Michor, Peter W. 7 1996 Product preserving functors of infinite dimensional manifolds. Zbl 0881.58010 Kriegl, A.; Michor, P. W. 7 1996 \(n\)-transitivity of certain diffeomorphism groups. Zbl 0824.58014 Michor, P. W.; Vizman, C. 7 1994 Fractional Sobolev metrics on spaces of immersions. Zbl 1441.58010 Bauer, Martin; Harms, Philipp; Michor, Peter W. 7 2020 Many parameter Hölder perturbation of unbounded operators. Zbl 1243.47031 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 7 2012 Manifolds of smooth maps. Zbl 0382.58009 Michor, P. 7 1978 Lifting smooth curves over invariants for representations of compact Lie groups. Zbl 0960.22010 Alekseevsky, D. V.; Kriegl, A.; Losik, M.; Michor, P. W. 6 2000 Some remarks on the Plücker relations. Zbl 1071.15501 Eastwood, Michael G.; Michor, Peter W. 6 2000 Description of infinite-dimensional abelian regular Lie groups. Zbl 1012.22036 Michor, Peter; Teichmann, Josef 6 1999 Gauge theory for diffeomorphism groups. Zbl 0657.53059 Michor, Peter W. 6 1988 Closed surfaces with different shapes that are indistinguishable by the SRNF. Zbl 1474.53029 Klassen, Eric; Michor, Peter W. 6 2020 On polarizations in invariant theory. Zbl 1099.13012 Losik, Mark; Michor, Peter W.; Popov, Vladimir L. 6 2006 Lifting smooth curves over invariants for representations of compact Lie groups. III. Zbl 1112.22003 Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin 6 2006 The Frölicher-Nijenhuis bracket in non-commutative differential geometry. Zbl 0830.58002 Cap, A.; Kriegl, P.; Michor, P. W.; Vanžura, J. 5 1993 Lifting smooth curves over invariants for representations of compact Lie groups. II. Zbl 1062.22029 Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin 5 2005 The generalized Cayley map from an algebraic group to its Lie algebra. Zbl 1072.20051 Kostant, Bertram; Michor, Peter W. 5 2003 Riemannian geometry of the space of volume preserving immersions. Zbl 1357.58013 Bauer, Martin; Michor, Peter W.; Müller, Olaf 5 2016 Curvature weighted metrics on shape space of hypersurfaces in \(n\)-space. Zbl 1237.58009 Bauer, Martin; Harms, Philipp; Michor, Peter W. 5 2012 Contributions to finite operator calculus in several variables. Zbl 0403.05004 Michor, P. 5 1979 A convenient setting for differential geometry and global analysis. II. Zbl 0594.58011 Michor, Peter 5 1984 Pseudo-Riemannian metrics on spaces of bilinear structures. Zbl 0799.58013 Gil-Medrano, Olga; Michor, Peter W.; Neuwirther, Martin 4 1992 Commutators of flows and fields. Zbl 0784.58051 Mauhart, Markus; Michor, Peter W. 4 1992 Geodesics on spaces of almost Hermitian structures. Zbl 0821.53031 Gil-Medrano, Olga; Michor, Peter W. 4 1994 Basic differential forms for actions of Lie groups. II. Zbl 0866.57027 Michor, Peter W. 4 1997 Characterizing algebras of \(C^ \infty \)-functions on manifolds. Zbl 0881.58001 Michor, P. W.; Vanžura, J. 4 1996 The flow completion of the Burgers equation. Zbl 1062.37100 Khesin, Boris A.; Michor, Peter W. 4 2004 Sobolev metrics on spaces of manifold valued curves. Zbl 07851376 Bauer, Martin; Maor, Cy; Michor, Peter W. 1 2023 Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics. Zbl 1482.58005 Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 4 2022 Manifolds of mappings for continuum mechanics. Zbl 1445.58002 Michor, Peter W. 12 2020 Fractional Sobolev metrics on spaces of immersions. Zbl 1441.58010 Bauer, Martin; Harms, Philipp; Michor, Peter W. 7 2020 Closed surfaces with different shapes that are indistinguishable by the SRNF. Zbl 1474.53029 Klassen, Eric; Michor, Peter W. 6 2020 Geometry of the Fisher-Rao metric on the space of smooth densities on a compact manifold. Zbl 1415.58005 Bruveris, Martins; Michor, Peter W. 3 2019 Moser’s theorem on manifolds with corners. Zbl 1398.58004 Bruveris, Martins; Michor, Peter W.; Parusiński, Adam; Rainer, Armin 2 2018 Soliton solutions for the elastic metric on spaces of curves. Zbl 1396.58014 Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 2 2018 Non-singular space-times with a negative cosmological constant. V: Boson stars. Zbl 1397.83019 Chruściel, Piotr T.; Delay, Erwann; Klinger, Paul; Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 1 2018 Uniqueness of the Fisher-Rao metric on the space of smooth densities. Zbl 1347.58001 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 33 2016 Why use Sobolev metrics on the space of curves. Zbl 1338.65043 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 17 2016 Riemannian geometry of the space of volume preserving immersions. Zbl 1357.58013 Bauer, Martin; Michor, Peter W.; Müller, Olaf 5 2016 The exponential law for spaces of test functions and diffeomorphism groups. Zbl 1346.46019 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 4 2016 An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\). Zbl 1316.58008 Kriegl, Andreas; Michor, W Peter.; Rainer, Armin 14 2015 The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type. Zbl 1331.26050 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 12 2015 Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 76 2014 Constructing reparameterization invariant metrics on spaces of plane curves. Zbl 1291.58002 Bauer, Martin; Bruveris, Martins; Marsland, Stephen; Michor, Peter W. 36 2014 Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009 Bruveris, Martins; Michor, Peter W.; Mumford, David 29 2014 Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. Zbl 1309.35064 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 16 2014 \(R\)-transforms for Sobolev \(H^2\)-metrics on spaces of plane curves. Zbl 1315.35149 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 9 2014 The Lagrangian Radon transform and the Weil representation. Zbl 1310.44005 Marmo, Giuseppe; Michor, Peter W.; Neretin, Yury A. 2 2014 On Euler’s equation and ‘EPDiff’. Zbl 1274.35277 Mumford, David; Michor, Peter W. 26 2013 Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Zbl 1288.35415 Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 23 2013 A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009 Michor, Peter W.; Mumford, David 21 2013 Sobolev metrics on the manifold of all Riemannian metrics. Zbl 1275.58007 Bauer, Martin; Harms, Philipp; Michor, Peter W. 18 2013 Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005 Micheli, M.; Michor, P. W.; Mumford, D. 17 2013 Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II. Zbl 1290.35192 Bauer, Martin; Bruveris, Martins; Michor, Peter W. 11 2013 Rolling of Coxeter polyhedra along mirrors. Zbl 1318.52011 Alekseevski, Dmitri V.; Michor, Peter W.; Neretin, Yurii A. 2 2013 Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. Zbl 1246.58005 Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. 26 2012 Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003 Bauer, Martin; Harms, Philipp; Michor, Peter W. 22 2012 Almost local metrics on shape space of hypersurfaces in n-space. Zbl 1251.58002 Bauer, Martin; Harms, Philipp; Michor, Peter W. 16 2012 Sectional curvature in terms of the cometric, with applications to the Riemannian manifolds of landmarks. Zbl 1276.37047 Micheli, Mario; Michor, Peter W.; Mumford, David 14 2012 Many parameter Hölder perturbation of unbounded operators. Zbl 1243.47031 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 7 2012 Curvature weighted metrics on shape space of hypersurfaces in \(n\)-space. Zbl 1237.58009 Bauer, Martin; Harms, Philipp; Michor, Peter W. 5 2012 A generalization of Puiseux’s theorem and lifting curves over invariants. Zbl 1279.14058 Losik, Mark; Michor, Peter W.; Rainer, Armin 2 2012 Sobolev metrics on shape space of surfaces. Zbl 1262.58004 Bauer, Martin; Harms, Philipp; Michor, Peter W. 52 2011 The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1250.46018 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 21 2011 Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators. Zbl 1244.26028 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 12 2011 The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1178.46039 Kriegl, Andreas; Michor, Peter W.; Rainer, Armin 28 2009 Topics in differential geometry. Zbl 1175.53002 Michor, Peter W. 139 2008 A metric on shape space with explicit geodesics. Zbl 1142.58013 Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David 81 2008 Lifting mappings over invariants of finite groups. Zbl 1164.14009 Kriegl, A.; Losik, M.; Michor, P. W.; Rainer, A. 3 2008 An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007 Michor, Peter W.; Mumford, David 100 2007 Reflection groups on Riemannian manifolds. Zbl 1232.51010 Alekseevsky, Dmitri V.; Kriegl, Andreas; Losik, Mark; Michor, Peter W. 8 2007 Riemannian geometries on spaces of plane curves. Zbl 1101.58005 Michor, Peter W.; Mumford, David 127 2006 Some geometric evolution equations arising as geodesic equations on groups of diffeomorphisms including the Hamiltonian approach. Zbl 1221.58006 Michor, Peter W. 25 2006 Homology and modular classes of Lie algebroids. Zbl 1141.17018 Grabowski, Janusz; Marmo, Giuseppe; Michor, Peter W. 15 2006 A 2-cocycle on a symplectomorphism group. Zbl 1132.53043 Ismagilov, Rais S.; Losik, Mark; Michor, Peter W. 10 2006 On polarizations in invariant theory. Zbl 1099.13012 Losik, Mark; Michor, Peter W.; Popov, Vladimir L. 6 2006 Lifting smooth curves over invariants for representations of compact Lie groups. III. Zbl 1112.22003 Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin 6 2006 The homotopy type of the space of degree 0 – inmersed plane curves. Zbl 1104.58003 Kodama, Hiroki; Michor, Peter W. 3 2006 Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010 Michor, Peter W.; Mumford, David 84 2005 Extensions of super Lie algebras. Zbl 1098.17014 Alekseevsky, Dmitri; Michor, Peter W.; Ruppert, W. A. F. 32 2005 Lifting smooth curves over invariants for representations of compact Lie groups. II. Zbl 1062.22029 Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin 5 2005 Leray in Edelbach. Zbl 1189.01064 Sigmund, Anna Maria; Michor, Peter; Sigmund, Karl 2 2005 Choosing roots of polynomials smoothly. II. Zbl 1071.26009 Kriegl, Andreas; Losik, Mark; Michor, Peter W. 12 2004 The flow completion of the Burgers equation. Zbl 1062.37100 Khesin, Boris A.; Michor, Peter W. 4 2004 Completing Lie algebra actions to Lie group actions. Zbl 1066.22021 Kamber, Franz W.; Michor, Peter W. 2 2004 The Riemann geometry of orbit spaces – the metric, geodesics and integrable systems. Zbl 1026.57028 Alekseevsky, Dmitri; Kriegl, Andreas; Losik, Mark; Michor, Peter W. 21 2003 Differentiable perturbation of unbounded operators. Zbl 1054.47014 Kriegl, Andreas; Michor, Peter W. 16 2003 The generalized Cayley map from an algebraic group to its Lie algebra. Zbl 1072.20051 Kostant, Bertram; Michor, Peter W. 5 2003 Tensor fields and connections on holomorphic orbit spaces of finite groups. Zbl 1039.32029 Kriegl, Andreas; Losik, Mark; Michor, Peter W. 2 2003 Invariant tensor fields and orbit varieties for finite algebraic transformation groups. Zbl 1063.14055 Losik, Mark; Michor, Peter W.; Popov, Vladimir L. 1 2003 Smooth \(\star\)-algebras. Zbl 1026.46062 Dubois-Violette, Michel; Kriegl, Andreas; Maeda, Yoshiaki; Michor, Peter W. 10 2001 Lifting smooth curves over invariants for representations of compact Lie groups. Zbl 0960.22010 Alekseevsky, D. V.; Kriegl, A.; Losik, M.; Michor, P. W. 6 2000 Some remarks on the Plücker relations. Zbl 1071.15501 Eastwood, Michael G.; Michor, Peter W. 6 2000 On the curvature of a certain Riemannian space of matrices. Zbl 1031.53109 Michor, Peter W.; Petz, Dénes; Andai, Attila 4 2000 A note on \(n\)-ary Poisson brackets. Zbl 0986.53035 Michor, Peter W.; Vaisman, Izu 3 2000 The flow completion of a manifold with vector field. Zbl 0955.37007 Kamber, Franz W.; Michor, Peter W. 1 2000 Bounds on the multiplicity of eigenvalues for fixed membranes. Zbl 0949.35102 Hoffmann-Ostenhof, T.; Michor, P. W.; Nadirashvili, N. 13 1999 Description of infinite-dimensional abelian regular Lie groups. Zbl 1012.22036 Michor, Peter; Teichmann, Josef 6 1999 Choosing roots of polynomials smoothly. Zbl 0912.26006 Alekseevsky, Dmitri; Kriegl, Andreas; Michor, Peter W.; Losik, Mark 38 1998 Poisson structures on double Lie groups. Zbl 1020.17016 Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W. 14 1998 On the geometry of the Virasoro-Bott group. Zbl 0945.58005 Michor, P. W.; Ratiu, T. S. 12 1998 The convenient setting of global analysis. Zbl 0889.58001 Kriegl, Andreas; Michor, Peter W. 479 1997 Regular infinite dimensional Lie groups. Zbl 0893.22012 Kriegl, Andreas; Michor, Peter W. 30 1997 More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry. Zbl 0889.58011 Dubois-Violette, Michel; Michor, Peter W. 8 1997 Basic differential forms for actions of Lie groups. II. Zbl 0866.57027 Michor, Peter W. 4 1997 Completely integrable systems—a generalization. Zbl 1020.37538 Alekseevsky, D. V.; Grabowski, J.; Marmo, G.; Michor, P. W. 4 1997 No slices on the space of generalized connections. Zbl 0924.58007 Michor, P. W.; Schichl, H. 1 1997 Connections on central bimodules in noncommutative differential geometry. Zbl 0867.53023 Dubois-Violette, Michel; Michor, Peter W. 69 1996 \(n\)-ary Lie and associative algebras. Zbl 0928.17029 Michor, P. W.; Vinogradov, A. M. 18 1996 Basic differential forms for actions of Lie groups. Zbl 0858.57038 Michor, Peter W. 7 1996 Product preserving functors of infinite dimensional manifolds. Zbl 0881.58010 Kriegl, A.; Michor, P. W. 7 1996 Characterizing algebras of \(C^ \infty \)-functions on manifolds. Zbl 0881.58001 Michor, P. W.; Vanžura, J. 4 1996 The Jacobi flow. Zbl 0919.53013 Michor, P. W. 2 1996 Differential geometry of \(\mathfrak{g}\)-manifolds. Zbl 0854.53028 Alekseevsky, D. V.; Michor, Peter W. 14 1995 A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetric multivector fields. Zbl 0844.58002 Dubois-Violette, Michel; Michor, Peter W. 11 1995 Differential geometry of Cartan connections. Zbl 0857.53011 Alekseevsky, D. V.; Michor, P. W. 11 1995 Derivations and non-commutative differential calculus. II. (Dérivations et calcul différentiel non commutatif. II.) Zbl 0829.16028 Dubois-Violette, Michel; Michor, Peter W. 24 1994 Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions. Zbl 0822.58016 Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W. 12 1994 \(n\)-transitivity of certain diffeomorphism groups. Zbl 0824.58014 Michor, P. W.; Vizman, C. 7 1994 Geodesics on spaces of almost Hermitian structures. Zbl 0821.53031 Gil-Medrano, Olga; Michor, Peter W. 4 1994 75 years of Radon transform. Proceedings of the conference held at the Erwin Schrödinger International Institute for Mathematical Physics in Vienna, Austria, August 31-September 4, 1992. Zbl 0814.00012 3 1994 Natural operations in differential geometry. Zbl 0782.53013 Kolář, Ivan; Michor, Peter W.; Slovák, Jan 498 1993 The Frölicher-Nijenhuis bracket in non-commutative differential geometry. Zbl 0830.58002 Cap, A.; Kriegl, P.; Michor, P. W.; Vanžura, J. 5 1993 More smoothly real compact spaces. Zbl 0813.46026 Kriegl, Andreas; Michor, Peter W. 3 1993 Characteristic classes for \(G\)-structures. Zbl 0793.53028 Alekseevskij, D. V.; Michor, P. W. 3 1993 The multigraded Nijenhuis-Richardson algebra, its universal property and applications. Zbl 0752.17019 Lecomte, P. A. B.; Michor, P. W.; Schicketanz, H. 16 1992 Pseudo-Riemannian metrics on spaces of bilinear structures. Zbl 0799.58013 Gil-Medrano, Olga; Michor, Peter W.; Neuwirther, Martin 4 1992 ...and 40 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,075 Authors 66 Michor, Peter Wolfram 43 Bauer, Martin 41 Mikulski, Włodzimierz M. 31 Rainer, Armin 30 Majid, Shahn 24 Kolář, Ivan 23 Bruveris, Martins 23 Schmeding, Alexander 20 Glöckner, Helge 20 Marmo, Giuseppe 18 Neeb, Karl-Hermann 18 Srivastava, Anuj 17 Abbassi, Mohamed Tahar Kadaoui 17 Doupovec, Miroslav 17 Kriegl, Andreas 17 Kurek, Jan 15 Kolev, Boris 14 Nigsch, Eduard Albert 14 Vizman, Cornelia 14 Welker, Kathrin 13 Gay-Balmaz, François 13 Grabowski, Janusz 13 Harms, Philipp 13 Modin, Klas 12 Charon, Nicolas 12 Magnot, Jean-Pierre 11 Beggs, Edwin J. 11 Klassen, Eric Paul 11 Palese, Marcella 11 Pelletier, Fernand 11 Preston, Stephen C. 10 Ciaglia, Florio Maria 10 Holm, Darryl Dallas 10 Janyška, Josef 10 Navarro Garmendia, José 10 Sommer, Stefan 10 Vialard, François-Xavier 9 Esen, Oğul 9 Fatibene, Lorenzo 9 Helffer, Bernard 9 Masson, Thierry 9 Muñoz Masqué, Jaime 9 Ratiu, Tudor Stefan 9 Rejzner, Katarzyna 9 Schulz, Volker H. 9 Trouvé, Alain 9 Vitale, Patrizia 8 Beltiţă, Daniel 8 Cabau, Patrick 8 de León Rodríguez, Manuel 8 Escher, Joachim 8 Francaviglia, Mauro 8 Kurtek, Sebastian 8 Maor, Cy 8 Sheng, Yunhe 8 Shurygin, Vadim V. jun. 8 Vitolo, Raffaele F. 7 Agore, Ana-Loredana 7 Amri, Noura 7 Čap, Andreas 7 Castrillón López, Marco 7 Di Cosmo, Fabio 7 Dubois-Violette, Michel 7 Epstein, Marcelo 7 Giordano, Paolo Robuffo 7 Grong, Erlend 7 Jóźwikowski, Michał 7 Marsland, Stephen R. 7 Needham, Tom 7 Schindl, Gerhard 7 Segev, Reuven 7 Sütlü, Serkan 7 Vorob’ev, Yu. M. 7 Wockel, Christoph 7 Younes, Laurent 6 Canarutto, Daniel 6 Diez, Tobias 6 Domański, Paweł 6 Fredenhagen, Klaus 6 Hochgerner, Simon 6 Khavkine, Igor 6 Kosmann-Schwarzbach, Yvette 6 Kunzinger, Michael 6 Kureš, Miroslav 6 Laurent-Gengoux, Camille 6 Losik, Mark V. 6 Lüst, Dieter 6 Mennucci, Andrea Carlo Giuseppe 6 Modugno, Marco 6 Monterde, Juan 6 Moreno, Giovanni 6 Mumford, David Bryant 6 Pacaud Lemay, Jean-Simon 6 Rotkiewicz, Mikołaj 6 Rumpf, Martin 6 Rybicki, Tomasz 6 Samir, Chafik 6 Schenkel, Alexander 6 Schiavone, Luca 6 Siebenborn, Martin ...and 1,975 more Authors all top 5 Cited in 381 Serials 102 Journal of Geometry and Physics 80 Differential Geometry and its Applications 63 Annals of Global Analysis and Geometry 50 International Journal of Geometric Methods in Modern Physics 44 Communications in Mathematical Physics 43 Journal of Mathematical Physics 32 Reports on Mathematical Physics 32 Journal of Geometric Mechanics 31 Letters in Mathematical Physics 30 Journal of Functional Analysis 28 Monatshefte für Mathematik 24 Journal of High Energy Physics 24 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 23 Advances in Mathematics 23 Czechoslovak Mathematical Journal 21 Journal of Mathematical Imaging and Vision 20 The Journal of Geometric Analysis 18 Calculus of Variations and Partial Differential Equations 18 International Journal of Computer Vision 18 Transformation Groups 17 Classical and Quantum Gravity 17 Journal of Mathematical Analysis and Applications 16 Annali di Matematica Pura ed Applicata. Serie Quarta 16 Proceedings of the American Mathematical Society 16 Journal of Physics A: Mathematical and Theoretical 15 Journal of Differential Equations 15 Mathematische Zeitschrift 15 SIAM Journal on Imaging Sciences 14 Annales de l’Institut Fourier 14 Journal of Pure and Applied Algebra 14 Indagationes Mathematicae. New Series 14 Journal of Mathematical Sciences (New York) 13 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 13 Cahiers de Topologie et Géométrie Différentielle Catégoriques 13 Mathematische Annalen 13 Transactions of the American Mathematical Society 13 Topology and its Applications 12 Reviews in Mathematical Physics 12 Archivum Mathematicum 12 Geometriae Dedicata 12 Information Geometry 11 Archive for Rational Mechanics and Analysis 11 Communications in Algebra 11 Physica D 11 Journal of Nonlinear Science 10 Israel Journal of Mathematics 10 Nuclear Physics. B 10 Journal of Algebra 10 Mathematische Nachrichten 10 Acta Applicandae Mathematicae 10 Lobachevskii Journal of Mathematics 10 Annales Henri Poincaré 9 Foundations of Computational Mathematics 9 Communications in Mathematics 8 Quarterly of Applied Mathematics 8 Annals of Physics 8 Journal of Nonlinear Mathematical Physics 8 Central European Journal of Mathematics 8 Mediterranean Journal of Mathematics 7 General Relativity and Gravitation 7 Demonstratio Mathematica 7 Linear Algebra and its Applications 7 Expositiones Mathematicae 7 SIAM Journal on Optimization 7 Applied Categorical Structures 7 Bulletin of the Brazilian Mathematical Society. New Series 6 Nonlinearity 6 Rocky Mountain Journal of Mathematics 6 Advances in Applied Clifford Algebras 6 Theory and Applications of Categories 6 Discrete and Continuous Dynamical Systems 6 Geometry & Topology 6 Journal of Noncommutative Geometry 6 Analysis and Mathematical Physics 5 Physics Letters. A 5 Fortschritte der Physik 5 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 5 Memoirs of the American Mathematical Society 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Numerische Mathematik 5 Rendiconti del Seminario Matematico della Università di Padova 5 Revista Matemática Complutense 5 Journal of the European Mathematical Society (JEMS) 5 Algebraic & Geometric Topology 5 Cahiers de Topologie et Géométrie Différentielle Catégoriques 5 Journal of Homotopy and Related Structures 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Theoretical and Mathematical Physics 4 Canadian Journal of Mathematics 4 Duke Mathematical Journal 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Optimization Theory and Applications 4 Manuscripta Mathematica 4 SIAM Journal on Control and Optimization 4 Forum Mathematicum 4 International Journal of Mathematics 4 Mathematical Structures in Computer Science 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis ...and 281 more Serials all top 5 Cited in 61 Fields 770 Global analysis, analysis on manifolds (58-XX) 757 Differential geometry (53-XX) 280 Functional analysis (46-XX) 204 Quantum theory (81-XX) 184 Topological groups, Lie groups (22-XX) 184 Partial differential equations (35-XX) 161 Dynamical systems and ergodic theory (37-XX) 146 Nonassociative rings and algebras (17-XX) 130 Manifolds and cell complexes (57-XX) 127 Relativity and gravitational theory (83-XX) 115 Mechanics of particles and systems (70-XX) 101 Numerical analysis (65-XX) 94 Calculus of variations and optimal control; optimization (49-XX) 84 Category theory; homological algebra (18-XX) 82 Statistics (62-XX) 81 Several complex variables and analytic spaces (32-XX) 77 Computer science (68-XX) 76 Associative rings and algebras (16-XX) 75 Algebraic topology (55-XX) 63 Operator theory (47-XX) 61 Algebraic geometry (14-XX) 61 Real functions (26-XX) 50 Probability theory and stochastic processes (60-XX) 41 Fluid mechanics (76-XX) 38 Group theory and generalizations (20-XX) 38 Information and communication theory, circuits (94-XX) 36 Mechanics of deformable solids (74-XX) 34 Ordinary differential equations (34-XX) 33 Geometry (51-XX) 31 General topology (54-XX) 30 Systems theory; control (93-XX) 26 Functions of a complex variable (30-XX) 25 Biology and other natural sciences (92-XX) 24 Commutative algebra (13-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 23 Mathematical logic and foundations (03-XX) 20 Operations research, mathematical programming (90-XX) 16 Abstract harmonic analysis (43-XX) 15 Combinatorics (05-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 General and overarching topics; collections (00-XX) 12 Convex and discrete geometry (52-XX) 9 Field theory and polynomials (12-XX) 9 Measure and integration (28-XX) 8 History and biography (01-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 \(K\)-theory (19-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Astronomy and astrophysics (85-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Optics, electromagnetic theory (78-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Number theory (11-XX) 4 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 3 Geophysics (86-XX) 2 Potential theory (31-XX) 1 General algebraic systems (08-XX) 1 Integral equations (45-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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