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Michor, Peter Wolfram

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Author ID: michor.peter-w Recent zbMATH articles by "Michor, Peter Wolfram"
Published as: Michor, P.; Michor, P. W.; Michor, Peter; Michor, Peter W.; Michor, W Peter.
Homepage: http://www.mat.univie.ac.at/~michor/
External Links: MGP · Math-Net.Ru · Wikidata · MathOverflow · ORCID · ResearchGate · dblp · GND
Documents Indexed: 156 Publications since 1974, including 11 Books
Reviewing Activity: 79 Reviews
all top 5

Serials

8 Annals of Global Analysis and Geometry
8 Journal of Lie Theory
7 Differential Geometry and its Applications
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 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 Internationale Mathematische Nachrichten
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
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 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 International Journal of Geometric Methods in Modern 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 Progress in Mathematics
1 Forum of Mathematics, Sigma
1 Abhandlungen der Akademie der Wissenschaften der DDR
1 Geometry, Imaging and Computing
all top 5

Fields

81 Global analysis, analysis on manifolds (58-XX)
44 Differential geometry (53-XX)
31 Functional analysis (46-XX)
23 Topological groups, Lie groups (22-XX)
16 Nonassociative rings and algebras (17-XX)
14 Partial differential equations (35-XX)
13 Dynamical systems and ergodic theory (37-XX)
10 Group theory and generalizations (20-XX)
9 Operator theory (47-XX)
9 Manifolds and cell complexes (57-XX)
8 Real functions (26-XX)
7 Category theory; homological algebra (18-XX)
6 Quantum theory (81-XX)
5 History and biography (01-XX)
5 Algebraic geometry (14-XX)
5 Associative rings and algebras (16-XX)
5 General topology (54-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 Algebraic topology (55-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 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 Geometry (51-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

Citations contained in zbMATH

134 Publications have been cited 2,217 times in 1,329 Documents Cited by Year
The convenient setting of global analysis. Zbl 0889.58001
Kriegl, Andreas; Michor, Peter W.
327
1997
Natural operations in differential geometry. Zbl 0782.53013
Kolář, Ivan; Michor, Peter W.; Slovák, Jan
324
1993
Manifolds of differentiable mappings. Zbl 0433.58001
Michor, P. W.
106
1980
Riemannian geometries on spaces of plane curves. Zbl 1101.58005
Michor, Peter W.; Mumford, David
85
2006
Topics in differential geometry. Zbl 1175.53002
Michor, Peter W.
78
2008
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
68
2007
A metric on shape space with explicit geodesics. Zbl 1142.58013
Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David
56
2008
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010
Michor, Peter W.; Mumford, David
54
2005
Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
46
2014
Sobolev metrics on shape space of surfaces. Zbl 1262.58004
Bauer, Martin; Harms, Philipp; Michor, Peter W.
36
2011
Connections on central bimodules in noncommutative differential geometry. Zbl 0867.53023
Dubois-Violette, Michel; Michor, Peter W.
35
1996
Banach modules and functors on categories of Banach spaces. Zbl 0411.46044
Cigler, Johann; Losert, Viktor; Michor, Peter
32
1979
The convenient setting for real analytic mappings. Zbl 0738.46024
Kriegl, A.; Michor, P. W.
31
1990
The Riemannian manifold of all Riemannian metrics. Zbl 0739.58010
Gil-Medrano, Olga; Michor, Peter W.
29
1991
Choosing roots of polynomials smoothly. Zbl 0912.26006
Alekseevsky, Dmitri; Kriegl, Andreas; Michor, Peter W.; Losik, Mark
27
1998
Constructing reparameterization invariant metrics on spaces of plane curves. Zbl 1291.58002
Bauer, Martin; Bruveris, Martins; Marsland, Stephen; Michor, Peter W.
25
2014
Regular infinite dimensional Lie groups. Zbl 0893.22012
Kriegl, Andreas; Michor, Peter W.
25
1997
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.
21
2013
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009
Bruveris, Martins; Michor, Peter W.; Mumford, David
20
2014
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.
20
2012
Some geometric evolution equations arising as geodesic equations on groups of diffeomorphisms including the Hamiltonian approach. Zbl 1221.58006
Michor, Peter W.
20
2006
Extensions of super Lie algebras. Zbl 1098.17014
Alekseevsky, Dmitri; Michor, Peter W.; Ruppert, W. A. F.
20
2005
Natural transformations in differential geometry. Zbl 0654.58001
Kainz, Gerd; Michor, Peter W.
20
1987
On Euler’s equation and ‘EPDiff’. Zbl 1274.35277
Mumford, David; Michor, Peter W.
18
2013
The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1178.46039
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
18
2009
The action of the diffeomorphism group on the space of immersions. Zbl 0783.58012
Cervera, Vicente; Mascaró, Francisca; Michor, Peter W.
18
1991
Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003
Bauer, Martin; Harms, Philipp; Michor, Peter W.
17
2012
A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009
Michor, Peter W.; Mumford, David
16
2013
The Riemann geometry of orbit spaces – the metric, geodesics and integrable systems. Zbl 1026.57028
Alekseevsky, Dmitri; Kriegl, Andreas; Losik, Mark; Michor, Peter W.
16
2003
The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1250.46018
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
15
2011
The multigraded Nijenhuis-Richardson algebra, its universal property and applications. Zbl 0752.17019
Lecomte, P. A. B.; Michor, P. W.; Schicketanz, H.
14
1992
Why use Sobolev metrics on the space of curves. Zbl 1338.65043
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
13
2016
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005
Micheli, M.; Michor, P. W.; Mumford, D.
13
2013
Sobolev metrics on the manifold of all Riemannian metrics. Zbl 1275.58007
Bauer, Martin; Harms, Philipp; Michor, Peter W.
13
2013
Almost local metrics on shape space of hypersurfaces in n-space. Zbl 1251.58002
Bauer, Martin; Harms, Philipp; Michor, Peter W.
13
2012
Homology and modular classes of Lie algebroids. Zbl 1141.17018
Grabowski, Janusz; Marmo, Giuseppe; Michor, Peter W.
13
2006
Derivations and non-commutative differential calculus. II. Zbl 0829.16028
Dubois-Violette, Michel; Michor, Peter W.
13
1994
The Lie group of automorphisms of a principal bundle. Zbl 0692.58010
Abbati, M. C.; Cirelli, R.; Mania’, A.; Michor, P.
13
1989
Uniqueness of the Fisher-Rao metric on the space of smooth densities. Zbl 1347.58001
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
12
2016
Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. Zbl 1309.35064
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
12
2014
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
12
2012
Knit products of graded Lie algebras and groups. Zbl 0954.17508
Michor, Peter W.
12
1990
Remarks on the Schouten-Nijenhuis bracket. Zbl 0646.53013
Michor, Peter W.
12
1987
An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\). Zbl 1316.58008
Kriegl, Andreas; Michor, W Peter.; Rainer, Armin
11
2015
Differentiable perturbation of unbounded operators. Zbl 1054.47014
Kriegl, Andreas; Michor, Peter W.
11
2003
Remarks on the Frölicher-Nijenhuis bracket. Zbl 0633.53024
Michor, Peter W.
11
1987
A generalization of Hamiltonian mechanics. Zbl 0587.58004
Michor, Peter W.
11
1985
The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type. Zbl 1331.26050
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
10
2015
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.
10
2013
Choosing roots of polynomials smoothly. II. Zbl 1071.26009
Kriegl, Andreas; Losik, Mark; Michor, Peter W.
10
2004
On the geometry of the Virasoro-Bott group. Zbl 0945.58005
Michor, P. W.; Ratiu, T. S.
10
1998
\(n\)-ary Lie and associative algebras. Zbl 0928.17029
Michor, P. W.; Vinogradov, A. M.
10
1996
Differential geometry of \(\mathfrak{g}\)-manifolds. Zbl 0854.53028
Alekseevsky, D. V.; Michor, Peter W.
10
1995
Smoothness of the action of the gauge transformation group on connections. Zbl 0618.58040
Abbati, M. C.; Cirelli, R.; Manià, A.; Michor, P.
10
1986
Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators. Zbl 1244.26028
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
9
2011
Bounds on the multiplicity of eigenvalues for fixed membranes. Zbl 0949.35102
Hoffmann-Ostenhof, T.; Michor, P. W.; Nadirashvili, N.
9
1999
Gauge theory for fiber bundles. Zbl 0953.53001
Michor, Peter W.
9
1991
Aspects of the theory of infinite dimensional manifolds. Zbl 0782.58011
Kriegl, Andreas; Michor, Peter W.
9
1991
Manifolds of smooth maps, II: The Lie group of diffeomorphisms of a non- compact smooth manifold. Zbl 0434.58011
Michor, P.
9
1980
\(R\)-transforms for Sobolev \(H^2\)-metrics on spaces of plane curves. Zbl 1315.35149
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
8
2014
Differential geometry of Cartan connections. Zbl 0857.53011
Alekseevsky, D. V.; Michor, P. W.
8
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.
8
1995
A convenient setting for differential geometry and global analysis. Zbl 0548.58001
Michor, Peter
8
1984
Manifolds of smooth maps. IV: Theorem of de Rham. Zbl 0508.58012
Michor, P.
8
1983
Manifolds of smooth maps III: The principal bundle of embeddings of a non-compact smooth manifold. Zbl 0442.58011
Michor, P.
8
1980
Reflection groups on Riemannian manifolds. Zbl 1232.51010
Alekseevsky, Dmitri V.; Kriegl, Andreas; Losik, Mark; Michor, Peter W.
7
2007
Smooth \(\star\)-algebras. Zbl 1026.46062
Dubois-Violette, Michel; Kriegl, Andreas; Maeda, Yoshiaki; Michor, Peter W.
7
2001
Poisson structures on double Lie groups. Zbl 1020.17016
Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W.
7
1998
Product preserving functors of infinite dimensional manifolds. Zbl 0881.58010
Kriegl, A.; Michor, P. W.
7
1996
Basic differential forms for actions of Lie groups. Zbl 0858.57038
Michor, Peter W.
7
1996
Characters on algebras of smooth functions. Zbl 0691.58020
Kriegl, A.; Michor, P.; Schachermayer, W.
7
1989
Manifolds of smooth maps. Zbl 0382.58009
Michor, P.
7
1978
Functors and categories of Banach spaces. Tensor products, operator ideals and functors on categories of Banach spaces. Zbl 0369.46069
Michor, Peter W.
7
1978
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. Zbl 0960.22010
Alekseevsky, D. V.; Kriegl, A.; Losik, M.; Michor, P. W.
6
2000
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.
6
1994
Many parameter Hölder perturbation of unbounded operators. Zbl 1243.47031
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
5
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 2-cocycle on a symplectomorphism group. Zbl 1132.53043
Ismagilov, Rais S.; Losik, Mark; Michor, Peter W.
5
2006
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
Description of infinite-dimensional abelian regular Lie groups. Zbl 1012.22036
Michor, Peter; Teichmann, Josef
5
1999
More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry. Zbl 0889.58011
Dubois-Violette, Michel; Michor, Peter W.
5
1997
A convenient setting for differential geometry and global analysis. II. Zbl 0594.58011
Michor, Peter
5
1984
Contributions to finite operator calculus in several variables. Zbl 0403.05004
Michor, P.
5
1979
The exponential law for spaces of test functions and diffeomorphism groups. Zbl 1346.46019
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
4
2016
On the curvature of a certain Riemannian space of matrices. Zbl 1031.53109
Michor, Peter W.; Petz, Dénes; Andai, Attila
4
2000
Some remarks on the Plücker relations. Zbl 1071.15501
Eastwood, Michael G.; Michor, Peter W.
4
2000
Completely integrable systems—a generalization. Zbl 1020.37538
Alekseevsky, D. V.; Grabowski, J.; Marmo, G.; Michor, P. W.
4
1997
Basic differential forms for actions of Lie groups. II. Zbl 0866.57027
Michor, Peter W.
4
1997
The Frölicher-Nijenhuis bracket in non-commutative differential geometry. Zbl 0830.58002
Cap, A.; Kriegl, P.; Michor, P. W.; Vanžura, J.
4
1993
Commutators of flows and fields. Zbl 0784.58051
Mauhart, Markus; Michor, Peter W.
4
1992
Riemannian geometry of the space of volume preserving immersions. Zbl 1357.58013
Bauer, Martin; Michor, Peter W.; Müller, Olaf
3
2016
Lifting mappings over invariants of finite groups. Zbl 1164.14009
Kriegl, A.; Losik, M.; Michor, P. W.; Rainer, A.
3
2008
Lifting smooth curves over invariants for representations of compact Lie groups. III. Zbl 1112.22003
Kriegl, Andreas; Losik, Mark; Michor, Peter W.; Rainer, Armin
3
2006
The homotopy type of the space of degree 0 – inmersed plane curves. Zbl 1104.58003
Kodama, Hiroki; Michor, Peter W.
3
2006
The flow completion of the Burgers equation. Zbl 1062.37100
Khesin, Boris A.; Michor, Peter W.
3
2004
The generalized Cayley map from an algebraic group to its Lie algebra. Zbl 1072.20051
Kostant, Bertram; Michor, Peter W.
3
2003
\(n\)-transitivity of certain diffeomorphism groups. Zbl 0824.58014
Michor, P. W.; Vizman, C.
3
1994
Characteristic classes for \(G\)-structures. Zbl 0793.53028
Alekseevskij, D. V.; Michor, P. W.
3
1993
More smoothly real compact spaces. Zbl 0813.46026
Kriegl, Andreas; Michor, Peter W.
3
1993
Closed surfaces with different shapes that are indistinguishable by the SRNF. Zbl 07217116
Klassen, Eric; Michor, Peter W.
2
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.
1
2019
Soliton solutions for the elastic metric on spaces of curves. Zbl 1396.58014
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W.
2
2018
Moser’s theorem on manifolds with corners. Zbl 1398.58004
Bruveris, Martins; Michor, Peter W.; Parusiński, Adam; Rainer, Armin
1
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
Why use Sobolev metrics on the space of curves. Zbl 1338.65043
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
13
2016
Uniqueness of the Fisher-Rao metric on the space of smooth densities. Zbl 1347.58001
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
12
2016
The exponential law for spaces of test functions and diffeomorphism groups. Zbl 1346.46019
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
4
2016
Riemannian geometry of the space of volume preserving immersions. Zbl 1357.58013
Bauer, Martin; Michor, Peter W.; Müller, Olaf
3
2016
An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\). Zbl 1316.58008
Kriegl, Andreas; Michor, W Peter.; Rainer, Armin
11
2015
The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type. Zbl 1331.26050
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
10
2015
Overview of the geometries of shape spaces and diffeomorphism groups. Zbl 1310.58005
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
46
2014
Constructing reparameterization invariant metrics on spaces of plane curves. Zbl 1291.58002
Bauer, Martin; Bruveris, Martins; Marsland, Stephen; Michor, Peter W.
25
2014
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. Zbl 1315.58009
Bruveris, Martins; Michor, Peter W.; Mumford, David
20
2014
Homogeneous Sobolev metric of order one on diffeomorphism groups on real line. Zbl 1309.35064
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
12
2014
\(R\)-transforms for Sobolev \(H^2\)-metrics on spaces of plane curves. Zbl 1315.35149
Bauer, Martin; Bruveris, Martins; Michor, Peter W.
8
2014
The Lagrangian Radon transform and the Weil representation. Zbl 1310.44005
Marmo, Giuseppe; Michor, Peter W.; Neretin, Yury A.
1
2014
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.
21
2013
On Euler’s equation and ‘EPDiff’. Zbl 1274.35277
Mumford, David; Michor, Peter W.
18
2013
A zoo of diffeomorphism groups on \(\mathbb R^n\). Zbl 1364.22009
Michor, Peter W.; Mumford, David
16
2013
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Zbl 1280.58005
Micheli, M.; Michor, P. W.; Mumford, D.
13
2013
Sobolev metrics on the manifold of all Riemannian metrics. Zbl 1275.58007
Bauer, Martin; Harms, Philipp; Michor, Peter W.
13
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.
10
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.
20
2012
Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003
Bauer, Martin; Harms, Philipp; Michor, Peter W.
17
2012
Almost local metrics on shape space of hypersurfaces in n-space. Zbl 1251.58002
Bauer, Martin; Harms, Philipp; Michor, Peter W.
13
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
12
2012
Many parameter Hölder perturbation of unbounded operators. Zbl 1243.47031
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
5
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
1
2012
Sobolev metrics on shape space of surfaces. Zbl 1262.58004
Bauer, Martin; Harms, Philipp; Michor, Peter W.
36
2011
The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1250.46018
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
15
2011
Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators. Zbl 1244.26028
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
9
2011
The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings. Zbl 1178.46039
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin
18
2009
Topics in differential geometry. Zbl 1175.53002
Michor, Peter W.
78
2008
A metric on shape space with explicit geodesics. Zbl 1142.58013
Younes, Laurent; Michor, Peter W.; Shah, Jayant; Mumford, David
56
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
68
2007
Reflection groups on Riemannian manifolds. Zbl 1232.51010
Alekseevsky, Dmitri V.; Kriegl, Andreas; Losik, Mark; Michor, Peter W.
7
2007
Riemannian geometries on spaces of plane curves. Zbl 1101.58005
Michor, Peter W.; Mumford, David
85
2006
Some geometric evolution equations arising as geodesic equations on groups of diffeomorphisms including the Hamiltonian approach. Zbl 1221.58006
Michor, Peter W.
20
2006
Homology and modular classes of Lie algebroids. Zbl 1141.17018
Grabowski, Janusz; Marmo, Giuseppe; Michor, Peter W.
13
2006
On polarizations in invariant theory. Zbl 1099.13012
Losik, Mark; Michor, Peter W.; Popov, Vladimir L.
6
2006
A 2-cocycle on a symplectomorphism group. Zbl 1132.53043
Ismagilov, Rais S.; Losik, Mark; Michor, Peter W.
5
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
3
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
54
2005
Extensions of super Lie algebras. Zbl 1098.17014
Alekseevsky, Dmitri; Michor, Peter W.; Ruppert, W. A. F.
20
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.
10
2004
The flow completion of the Burgers equation. Zbl 1062.37100
Khesin, Boris A.; Michor, Peter W.
3
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.
16
2003
Differentiable perturbation of unbounded operators. Zbl 1054.47014
Kriegl, Andreas; Michor, Peter W.
11
2003
The generalized Cayley map from an algebraic group to its Lie algebra. Zbl 1072.20051
Kostant, Bertram; Michor, Peter W.
3
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.
7
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
On the curvature of a certain Riemannian space of matrices. Zbl 1031.53109
Michor, Peter W.; Petz, Dénes; Andai, Attila
4
2000
Some remarks on the Plücker relations. Zbl 1071.15501
Eastwood, Michael G.; Michor, Peter W.
4
2000
A note on \(n\)-ary Poisson brackets. Zbl 0986.53035
Michor, Peter W.; Vaisman, Izu
1
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.
9
1999
Description of infinite-dimensional abelian regular Lie groups. Zbl 1012.22036
Michor, Peter; Teichmann, Josef
5
1999
Choosing roots of polynomials smoothly. Zbl 0912.26006
Alekseevsky, Dmitri; Kriegl, Andreas; Michor, Peter W.; Losik, Mark
27
1998
On the geometry of the Virasoro-Bott group. Zbl 0945.58005
Michor, P. W.; Ratiu, T. S.
10
1998
Poisson structures on double Lie groups. Zbl 1020.17016
Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W.
7
1998
The convenient setting of global analysis. Zbl 0889.58001
Kriegl, Andreas; Michor, Peter W.
327
1997
Regular infinite dimensional Lie groups. Zbl 0893.22012
Kriegl, Andreas; Michor, Peter W.
25
1997
More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry. Zbl 0889.58011
Dubois-Violette, Michel; Michor, Peter W.
5
1997
Completely integrable systems—a generalization. Zbl 1020.37538
Alekseevsky, D. V.; Grabowski, J.; Marmo, G.; Michor, P. W.
4
1997
Basic differential forms for actions of Lie groups. II. Zbl 0866.57027
Michor, Peter 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.
35
1996
\(n\)-ary Lie and associative algebras. Zbl 0928.17029
Michor, P. W.; Vinogradov, A. M.
10
1996
Product preserving functors of infinite dimensional manifolds. Zbl 0881.58010
Kriegl, A.; Michor, P. W.
7
1996
Basic differential forms for actions of Lie groups. Zbl 0858.57038
Michor, Peter W.
7
1996
The Jacobi flow. Zbl 0919.53013
Michor, P. W.
1
1996
Characterizing algebras of \(C^ \infty \)-functions on manifolds. Zbl 0881.58001
Michor, P. W.; Vanžura, J.
1
1996
Differential geometry of \(\mathfrak{g}\)-manifolds. Zbl 0854.53028
Alekseevsky, D. V.; Michor, Peter W.
10
1995
Differential geometry of Cartan connections. Zbl 0857.53011
Alekseevsky, D. V.; Michor, P. W.
8
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.
8
1995
Derivations and non-commutative differential calculus. II. Zbl 0829.16028
Dubois-Violette, Michel; Michor, Peter W.
13
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.
6
1994
\(n\)-transitivity of certain diffeomorphism groups. Zbl 0824.58014
Michor, P. W.; Vizman, C.
3
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
Gindikin, Simon (ed.); Michor, Peter (ed.)
2
1994
Geodesics on spaces of almost Hermitian structures. Zbl 0821.53031
Gil-Medrano, Olga; Michor, Peter W.
1
1994
Natural operations in differential geometry. Zbl 0782.53013
Kolář, Ivan; Michor, Peter W.; Slovák, Jan
324
1993
The Frölicher-Nijenhuis bracket in non-commutative differential geometry. Zbl 0830.58002
Cap, A.; Kriegl, P.; Michor, P. W.; Vanžura, J.
4
1993
Characteristic classes for \(G\)-structures. Zbl 0793.53028
Alekseevskij, D. V.; Michor, P. W.
3
1993
More smoothly real compact spaces. Zbl 0813.46026
Kriegl, Andreas; Michor, Peter W.
3
1993
A quantum-group-like structure on noncommutative 2-tori. Zbl 0849.17012
Cap, Andreas; Michor, Peter W.; Schichl, Hermann
1
1993
The multigraded Nijenhuis-Richardson algebra, its universal property and applications. Zbl 0752.17019
Lecomte, P. A. B.; Michor, P. W.; Schicketanz, H.
14
1992
Commutators of flows and fields. Zbl 0784.58051
Mauhart, Markus; Michor, Peter W.
4
1992
Pseudo-Riemannian metrics on spaces of bilinear structures. Zbl 0799.58013
Gil-Medrano, Olga; Michor, Peter W.; Neuwirther, Martin
2
1992
All unitary representations admit moment mappings. Zbl 0795.22006
Michor, P. W.
1
1992
The Riemannian manifold of all Riemannian metrics. Zbl 0739.58010
Gil-Medrano, Olga; Michor, Peter W.
29
1991
...and 34 more Documents
all top 5

Cited by 1,456 Authors

61 Michor, Peter Wolfram
28 Bauer, Martin
25 Mikulski, Włodzimierz M.
24 Rainer, Armin
22 Kolář, Ivan
21 Bruveris, Martins
17 Kriegl, Andreas
15 Neeb, Karl-Hermann
13 Glöckner, Helge
13 Schmeding, Alexander
12 Doupovec, Miroslav
12 Kolev, Boris
11 Gay-Balmaz, François
11 Marmo, Giuseppe
11 Nigsch, Eduard Albert
11 Srivastava, Anuj
10 Modin, Klas
10 Vialard, François-Xavier
10 Vizman, Cornelia
9 Grabowski, Janusz
9 Holm, Darryl D.
9 Janyška, Josef
9 Majid, Shahn
9 Ratiu, Tudor Stefan
8 Beltiţă, Daniel
8 Francaviglia, Mauro
8 Harms, Philipp
8 Kurek, Jan
8 Masson, Thierry
8 Muñoz Masqué, Jaime
8 Palese, Marcella
8 Preston, Stephen C.
8 Trouvé, Alain
8 Vitolo, Raffaele F.
7 Abbassi, Mohamed Tahar Kadaoui
7 Agore, Ana-Loredana
7 Beggs, Edwin J.
7 Dubois-Violette, Michel
7 Escher, Joachim
7 Navarro Garmendia, José
7 Schulz, Volker H.
7 Segev, Reuven
7 Welker, Kathrin
7 Wockel, Christoph
6 Canarutto, Daniel
6 de León Rodríguez, Manuel
6 Domański, Pawel Jan
6 Epstein, Marcelo
6 Fatibene, Lorenzo
6 Giordano, Paolo Robuffo
6 Khavkine, Igor
6 Kosmann-Schwarzbach, Yvette
6 Kurtek, Sebastian
6 Losik, Mark V.
6 Magnot, Jean-Pierre
6 Marsland, Stephen R.
6 Mumford, David Bryant
6 Pelletier, Fernand
6 Rotkiewicz, Mikołaj
6 Rybicki, Tomasz
6 Schenkel, Alexander
6 Shurygin, Vadim V. jun.
6 Siebenborn, Martin
6 Teichmann, Josef
6 Vorobiev, Yurii
6 Winterroth, Ekkehart
5 Abbati, Maria Cristina
5 Alekseevskiĭ, Dmitriĭ Vladimirovich
5 Bloch, Anthony M.
5 Čap, Andreas
5 Fredenhagen, Klaus
5 Galanis, George N.
5 Helemskii, Alexander Ya.
5 Helffer, Bernard
5 Jóźwikowski, Michał
5 Klassen, Eric Paul
5 Kowalski, Oldřich
5 Kunzinger, Michael
5 Kureš, Miroslav
5 Laurent-Gengoux, Camille
5 McLachlan, Robert I.
5 Militaru, Gigel
5 Modugno, Marco
5 Monterde, Juan
5 Needham, Tom
5 Perrone, Domenico
5 Rumpf, Martin
5 Vallejo, José Antonio
5 Younes, Laurent
4 Benayadi, Saïd
4 Benini, Marco
4 Biström, Peter
4 Bonet Solves, José
4 Boulabiar, Karim Mohamed
4 Cabau, Patrick
4 Cabras, Antonella
4 Calvaruso, Giovanni
4 Cariñena, José F.
4 Caseiro, Raquel
4 Clarke, Brian P.
...and 1,356 more Authors
all top 5

Cited in 294 Serials

82 Journal of Geometry and Physics
74 Differential Geometry and its Applications
51 Annals of Global Analysis and Geometry
33 Communications in Mathematical Physics
33 International Journal of Geometric Methods in Modern Physics
32 Journal of Mathematical Physics
29 Reports on Mathematical Physics
28 Monatshefte für Mathematik
26 Journal of Functional Analysis
22 Czechoslovak Mathematical Journal
22 Journal of Geometric Mechanics
19 Letters in Mathematical Physics
19 Advances in Mathematics
15 Journal of Mathematical Imaging and Vision
15 Transformation Groups
14 Journal of Pure and Applied Algebra
14 Calculus of Variations and Partial Differential Equations
13 Cahiers de Topologie et Géométrie Différentielle Catégoriques
13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12 Journal of Mathematical Analysis and Applications
12 Annales de l’Institut Fourier
12 Transactions of the American Mathematical Society
12 Indagationes Mathematicae. New Series
12 Journal of Mathematical Sciences (New York)
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Journal of Differential Equations
11 SIAM Journal on Imaging Sciences
10 Mathematische Zeitschrift
10 Proceedings of the American Mathematical Society
10 Acta Applicandae Mathematicae
9 Israel Journal of Mathematics
9 Mathematische Annalen
9 Topology and its Applications
9 The Journal of Geometric Analysis
8 Geometriae Dedicata
8 Journal of High Energy Physics
7 General Relativity and Gravitation
7 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
7 Quarterly of Applied Mathematics
7 Linear Algebra and its Applications
7 Journal of Nonlinear Science
7 Lobachevskii Journal of Mathematics
7 Foundations of Computational Mathematics
7 Central European Journal of Mathematics
6 Archive for Rational Mechanics and Analysis
6 Communications in Algebra
6 Nuclear Physics. B
6 Reviews in Mathematical Physics
6 Demonstratio Mathematica
6 Journal of Algebra
6 Physica D
6 Annals of Physics
6 Expositiones Mathematicae
6 Discrete and Continuous Dynamical Systems
6 Annales Henri Poincaré
6 Bulletin of the Brazilian Mathematical Society. New Series
5 Rocky Mountain Journal of Mathematics
5 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
5 Numerische Mathematik
5 Rendiconti del Seminario Matematico della Università di Padova
5 International Journal of Computer Vision
5 Geometry & Topology
5 Cahiers de Topologie et Géométrie Différentielle Catégoriques
5 Mediterranean Journal of Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Nonlinearity
4 Theoretical and Mathematical Physics
4 Archivum Mathematicum
4 Duke Mathematical Journal
4 Mathematische Nachrichten
4 Memoirs of the American Mathematical Society
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Forum Mathematicum
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Optimization
4 Revista Matemática Complutense
4 Journal of the European Mathematical Society (JEMS)
4 Acta Mathematica Sinica. English Series
4 Journal of Nonlinear Mathematical Physics
4 Journal of Homotopy and Related Structures
4 Communications in Mathematics
3 Classical and Quantum Gravity
3 Inverse Problems
3 Physics Letters. A
3 Studia Mathematica
3 Acta Mathematica
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Applied Mathematics and Computation
3 Compositio Mathematica
3 International Journal of Mathematics and Mathematical Sciences
3 Integral Equations and Operator Theory
3 Manuscripta Mathematica
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Results in Mathematics
3 SIAM Journal on Control and Optimization
3 Theoretical Computer Science
3 Tohoku Mathematical Journal. Second Series
3 Revista Matemática Iberoamericana
3 International Journal of Mathematics
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
...and 194 more Serials
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Cited in 60 Fields

553 Global analysis, analysis on manifolds (58-XX)
494 Differential geometry (53-XX)
196 Functional analysis (46-XX)
132 Topological groups, Lie groups (22-XX)
125 Quantum theory (81-XX)
124 Partial differential equations (35-XX)
111 Dynamical systems and ergodic theory (37-XX)
102 Nonassociative rings and algebras (17-XX)
85 Manifolds and cell complexes (57-XX)
73 Mechanics of particles and systems (70-XX)
72 Numerical analysis (65-XX)
70 Relativity and gravitational theory (83-XX)
58 Calculus of variations and optimal control; optimization (49-XX)
55 Category theory; homological algebra (18-XX)
52 Several complex variables and analytic spaces (32-XX)
48 Algebraic topology (55-XX)
47 Operator theory (47-XX)
44 Associative rings and algebras (16-XX)
44 Statistics (62-XX)
41 Real functions (26-XX)
41 Computer science (68-XX)
36 Algebraic geometry (14-XX)
29 Group theory and generalizations (20-XX)
27 Probability theory and stochastic processes (60-XX)
25 Ordinary differential equations (34-XX)
25 Fluid mechanics (76-XX)
25 Information and communication theory, circuits (94-XX)
24 Mechanics of deformable solids (74-XX)
21 Commutative algebra (13-XX)
20 General topology (54-XX)
19 Systems theory; control (93-XX)
18 Functions of a complex variable (30-XX)
18 Geometry (51-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
13 Mathematical logic and foundations (03-XX)
13 Abstract harmonic analysis (43-XX)
13 Biology and other natural sciences (92-XX)
11 General and overarching topics; collections (00-XX)
11 Combinatorics (05-XX)
9 Field theory and polynomials (12-XX)
7 Convex and discrete geometry (52-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Operations research, mathematical programming (90-XX)
6 History and biography (01-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 \(K\)-theory (19-XX)
4 Measure and integration (28-XX)
4 Special functions (33-XX)
4 Integral transforms, operational calculus (44-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Geophysics (86-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Number theory (11-XX)
2 Potential theory (31-XX)
2 Difference and functional equations (39-XX)
2 Optics, electromagnetic theory (78-XX)
2 Astronomy and astrophysics (85-XX)
1 General algebraic systems (08-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)

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