Edit Profile Gromov, Mikhael Leonidovich Compute Distance To: Compute Author ID: gromov.mikhael Published as: Gromov, M.; Gromov, M. L.; Gromov, Michael; Gromov, Michel; Gromov, Mikhael; Gromov, Mikhail; Gromov, Mikhaël; Gromov, Mikhaïl; Gromov, Misha Homepage: http://www.ihes.fr/~gromov/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor Awards: Wolf Prize (1993) · Kyoto Prize in Basic Sciences (2002) · Abel Prize (2009) Documents Indexed: 165 Publications since 1967, including 17 Books Biographic References: 17 Publications all top 5 Co-Authors 99 single-authored 9 Cheeger, Jeff 9 Shubin, Mikhail Aleksandrovich 8 Eliashberg, Yakov M. 7 Milman, Vitali D. 6 Connes, Alain 5 Bourgain, Jean 4 Alon, Noga M. 4 Lawson, Herbert Blaine jun. 3 Carbone, Alessandra 2 Bourguignon, Jean-Pierre 2 Braverman, Maxim 2 Bukhshtaber, Viktor Matveevich 2 Delzant, Thomas 2 Eliasberg, Ja. M. 2 Fox, Jacob 2 Ivrii, Victor Ja. 2 Khenkin, Gennadiĭ Markovich 2 Khovanskiĭ, Askold Georgievich 2 Kordyukov, Yuri A. 2 Kuchment, Peter A. 2 Lafforgue, Vincent 2 Maz’ya, Vladimir Gilelevich 2 Moscovici, Henri 2 Naor, Assaf 2 Novikov, Sergeĭ Petrovich 2 Pach, János 2 Pansu, Pierre 2 Rokhlin, Vladimir Abramovich 2 Sunada, Toshikazu 2 Thurston, William Paul 1 Aptekarev, Alexander Ivanovich 1 Ballmann, Hans Werner 1 Bertelson, Mélanie 1 Besson, Gérard 1 Brin, Michael 1 Burago, Yuriĭ Dmitrievich 1 Calabi, Eugenio 1 Capasso, Vincenzo 1 Chirka, Evgeni M. 1 D’Ambra, Giuseppina 1 Dikansky, Arnold 1 Donaldson, Simon Kirwan 1 Ebin, David G. 1 Eells, James jun. 1 Friedlander, L. F. 1 Friedlander, Leonid 1 Fuchs, Dmitry Borisovich 1 Fukaya, Kenji 1 García-Prada, Oscar 1 Grove, Karsten 1 Guth, Lawrence David 1 Harel-Bellan, Annick 1 Ilyashenko, Yulij Sergeevich 1 Kashin, Boris Sergeevich 1 Kazdan, Jerry L. 1 Kesel’man, V. M. 1 Kontsevich, Maxim Lvovich 1 Kozlov, Valeriĭ Vasil’evich 1 Krichever, Igor’ Moiseevich 1 Kruzhilin, Nikolai Georgievich 1 Lafontaine, Jacques 1 Lando, Sergei K. 1 LeBrun, Claude R. 1 Manin, Yuri Ivanovich 1 Margulis, Grigoriĭ Aleksandrovich 1 McOwen, Robert C. 1 Michelsohn, Marie-Louise 1 Morozova, Nadya 1 Nemirovskiĭ, Stefan Yur’evich 1 Perel’man, Grigoriĭ Yakovlevich 1 Piatetski-Shapiro, Ilya 1 Pritchard, Linda Louise 1 Prusinkiewicz, Przemyslaw 1 Reshetnyak, Yuriĭ Grigor’evich 1 Schoen, Richard Melvin 1 Schröder, Viktor M. H. 1 Schwarz, Albert S. 1 Shiryaev, Al’bert Nikolaevich 1 Simons, James 1 Sinaĭ, Yakov Grigor’evich 1 Suetin, Sergeĭ Pavlovich 1 Sullivan, Dennis Parnell 1 Taylor, Michael Eugene 1 Treshchev, Dmitriĭ Valer’evich 1 Vasil’ev, Viktor Anatol’evich 1 Zvonkin, Alexander K. all top 5 Serials 11 Geometric and Functional Analysis. GAFA 9 Journal of Differential Geometry 6 Publications Mathématiques 5 Russian Mathematical Surveys 4 Inventiones Mathematicae 4 Mathematics of the USSR. Izvestiya 4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Mathematical Notes 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Annals of Mathematics. Second Series 3 Central European Journal of Mathematics 3 Modern Birkhäuser Classics 2 Matematicheskie Zametki 2 Annales de l’Institut Fourier 2 Functional Analysis and its Applications 2 Soviet Mathematics. Doklady 2 Journal of the American Mathematical Society 2 L’Enseignement Mathématique. 2e Série 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Progress in Mathematics 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 1 American Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Gazette des Mathématiciens 1 Journal für die Reine und Angewandte Mathematik 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Theoretical Computer Science 1 Topology 1 The Journal of Geometric Analysis 1 Mathematics of the USSR, Sbornik 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Journal of Mathematical Sciences (New York) 1 U Sviti Matematyky 1 Mathematical Physics, Analysis and Geometry 1 Journal of the European Mathematical Society (JEMS) 1 Entropy 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 London Mathematical Society Lecture Note Series 1 Proceedings of the Steklov Institute of Mathematics 1 Groups, Geometry, and Dynamics 1 Journal of Topology 1 Springer Proceedings in Mathematics all top 5 Fields 84 Differential geometry (53-XX) 50 Manifolds and cell complexes (57-XX) 43 Global analysis, analysis on manifolds (58-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 History and biography (01-XX) 13 Group theory and generalizations (20-XX) 10 General and overarching topics; collections (00-XX) 8 Geometry (51-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 6 Combinatorics (05-XX) 6 Partial differential equations (35-XX) 6 Convex and discrete geometry (52-XX) 5 Functional analysis (46-XX) 5 Biology and other natural sciences (92-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 144 Publications have been cited 7,852 times in 6,011 Documents Cited by ▼ Year ▼ Hyperbolic groups. Zbl 0634.20015Gromov, M. 620 1987 Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025Gromov, M. 615 1985 Groups of polynomial growth and expanding maps. Appendix by Jacques Tits. Zbl 0474.20018Gromov, Mikhael 532 1981 Geometric group theory. Volume 2: Asymptotic invariants of infinite groups. Proceedings of the symposium held at the Sussex University, Brighton, July 14-19, 1991. Zbl 0841.20039Gromov, Mikhael 376 1993 Partial differential relations. Zbl 0651.53001Gromov, Mikhael 352 1986 Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu. Zbl 0953.53002Gromov, Misha 349 1999 Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Zbl 0493.53035Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael 285 1982 Filling Riemannian manifolds. Zbl 0515.53037Gromov, Mikhael 267 1983 Carnot-Carathéodory spaces seen from within. Zbl 0864.53025Gromov, Mikhael 252 1996 Manifolds of nonpositive curvature. Zbl 0591.53001Ballmann, Werner; Gromov, Mikhael; Schroeder, Viktor 252 1985 Volume and bounded cohomology. Zbl 0516.53046Gromov, M. 216 1982 Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. Zbl 0538.53047Gromov, Mikhael; Lawson, H. Blaine jun. 193 1983 Random walk in random groups. Zbl 1122.20021Gromov, M. 154 2003 The classification of simply connected manifolds of positive scalar curvature. Zbl 0463.53025Gromov, Mikhael; Lawson, H. Blaine jun. 144 1980 Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024Gromov, Mikhail; Schoen, Richard 126 1992 A topological application of the isoperimetric inequality. Zbl 0522.53039Gromov, Mikhael; Milman, V. D. 125 1983 Metric structures for Riemannian manifolds. Zbl 0509.53034Gromov, M. 121 1981 Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001Gromov, M. 116 1999 Curvature, diameter and Betti numbers. Zbl 0467.53021Gromov, Michael 107 1981 Isoperimetry of waists and concentration of maps. Zbl 1044.46057Gromov, M. 99 2003 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028Cheeger, Jeff; Gromov, Mikhael 93 1986 Almost flat manifolds. Zbl 0432.53020Gromov, M. 91 1978 Kähler hyperbolicity and \(L_ 2\)-Hodge theory. Zbl 0719.53042Gromov, M. 88 1991 Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322Gromov, Misha 84 1999 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020Cheeger, Jeff; Gromov, Mikhael 82 1986 Spin and scalar curvature in the presence of a fundamental group. I. Zbl 0445.53025Gromov, Mikhael; Lawson, H. Blaine jun. 82 1980 On the entropy of holomorphic maps. Zbl 1080.37051Gromov, Mikhaïl 75 2003 Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034Cheeger, Jeff; Gromov, Mikhael 73 1985 Metric invariants of Kähler manifolds. Zbl 0888.53047Gromov, M. 71 1993 Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012Gromov, M. 69 1989 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 67 1992 A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018Burago, Yu.; Gromov, M.; Perel’man, G. 65 1992 Convex symplectic manifolds. Zbl 0742.53010Eliashberg, Yakov; Gromov, Mikhael 65 1991 Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039Gromov, Mikhail 63 2010 Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu. 3rd printing. Zbl 1113.53001Gromov, Misha 62 2007 Manifolds of negative curvature. Zbl 0433.53028Gromov, M. 53 1978 Spaces and questions. Zbl 1006.53035Gromov, Misha 51 2000 Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007Gromov, M.; Piatetski-Shapiro, Ilya I. 51 1988 Pinching constants for hyperbolic manifolds. Zbl 0646.53037Gromov, Mikhael; Thurston, William P. 51 1987 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043Cheeger, Jeff; Gromov, Mikhael 50 1990 Homotopical effects of dilatation. Zbl 0427.58010Gromov, Mikhael 47 1978 Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007Gromov, M.; Milman, V. D. 42 1987 Sign and geometric meaning of curvature. Zbl 0820.53035Gromov, M. 38 1991 On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036Cheeger, Jeff; Gromov, Mikhael 37 1985 Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022Gromov, M. 36 1996 Convex sets and Kähler manifolds. Zbl 0770.53042Gromov, M. 36 1990 Hyperbolic manifolds, groups and actions. Zbl 0467.53035Gromov, M. 35 1981 Convex integration of differential relations. I. Zbl 0281.58004Gromov, M. L. 33 1974 Overlap properties of geometric expanders. Zbl 1306.05171Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 32 2012 Von Neumann spectra near zero. Zbl 0751.58039Gromov, M.; Shubin, M. A. 31 1991 Systoles and intersystolic inequalities. Zbl 0877.53002Gromov, Mikhael 30 1996 Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041Gromov, M. 29 1987 Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012Eliashberg, Yakov; Gromov, Mikhael 28 1992 Rigid transformations groups. Zbl 0652.53023Gromov, Michael 24 1988 Mesoscopic curvature and very small cancellation theory. Zbl 1197.20035Delzant, Thomas; Gromov, Misha 23 2008 Rigidity of lattices: An introduction. Zbl 0786.22015Gromov, M.; Pansu, P. 23 1991 Infinite groups as geometric objects. Zbl 0599.20041Gromov, Mikhael 23 1984 Embeddings and immersions in Riemannian geometry. Zbl 0222.53053Gromov, M. L.; Rokhlin, V. A. 23 1970 Dirac and Plateau billiards in domains with corners. Zbl 1315.53027Gromov, Misha 21 2014 Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043Gromov, Misha 21 2008 Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069Connes, A.; Gromov, M.; Moscovici, H. 21 1993 Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017D’Ambra, G.; Gromov, M. 21 1991 Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028Gromov, Mikhaïl 20 2000 Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011Gromov, M.; Henkin, G.; Shubin, M. 20 1998 Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010Gromov, Mikhail 19 2009 Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012Gromov, M.; Lawson, H. Blaine jun.; Thurston, W. 17 1988 On the ergodicity of frame flows. Zbl 0445.58023Brin, M.; Gromov, M. 16 1980 Large Riemannian manifolds. Zbl 0601.53038Gromov, M. 15 1986 Stable mappings of foliations into manifolds. Zbl 0205.53502Gromov, M. L. 15 1971 Embeddings and immersions in Riemannian geometry. Zbl 0202.21004Gromov, M. L.; Rokhlin, V. A. 15 1970 Metric inequalities with scalar curvature. Zbl 1396.53068Gromov, Misha 14 2018 Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015Eliashberg, Yasha; Gromov, Misha 14 1998 Chopping Riemannian manifolds. Zbl 0722.53045Cheeger, Jeff; Gromov, Mikhael 13 1991 Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri 13 1990 Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049Gromov, Michel 13 1989 Hyperbolic manifolds according to Thurston and Jorgensen. Zbl 0452.51017Gromov, Michael 13 1981 Foliated Plateau problem. II: Harmonic maps of foliations. Zbl 0768.53012Gromov, M. 12 1991 A topological technique for the construction of solutions of differential equations and inequalities. Zbl 0237.57019Gromov, M. L. 11 1971 Isometric imbeddings and immersions. Zbl 0214.50404Gromov, M. L. 11 1970 \(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029Gromov, M. 10 2001 Quantitative homotopy theory. Zbl 0927.57022Gromov, Mikhael 10 1999 Spectral geometry of semi-algebraic sets. Zbl 0759.58048Gromov, Mikhael 10 1992 Brunn theorem and a concentration of volume phenomena for symmetric convex bodies. Zbl 0953.52500Gromov, M.; Milman, V. D. 10 1984 Konvexe Integration von Differentialrelationen. I. Zbl 0254.58001Gromov, M. L. 10 1973 Cuts in Kähler groups. Zbl 1116.32016Delzant, Thomas; Gromov, Misha 9 2005 Foliated Plateau problem. I: Minimal varieties. Zbl 0768.53011Gromov, Mikhael 9 1991 Removal of singularities of smooth mappings. Zbl 0249.58005Gromov, M. L.; Eliasberg, Ja. M. 8 1972 Plateau-Stein manifolds. Zbl 1293.31006Gromov, Misha 7 2014 Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041Gromov, Misha; Guth, Larry 7 2012 Dynamical Morse entropy. Zbl 1155.37006Bertelson, Mélanie; Gromov, Misha 7 2004 Stabile Abbildungen von Blätterungen in Mannigfaltigkeiten. Zbl 0197.20404Gromov, M. L. 7 1969 Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003Gromov, Misha 6 2017 Mathematical slices of molecular biology. Zbl 0991.92503Carbone, Alessandra; Gromov, Misha 6 2001 Soft and hard symplectic geometry. Zbl 0664.53016Gromov, M. 6 1987 Synthetic geometry in Riemannian manifolds. Zbl 0427.53018Gromov, M. 6 1980 On simplexes inscribed in a hypersurface. Zbl 0181.25103Gromov, M. L. 6 1969 Über eine geometrische Hypothese von Banach. Zbl 0162.44402Gromov, M. L. 6 1967 Width and related invariants of Riemannian manifolds. Zbl 0684.53036Gromov, M. 5 1988 Monotonicity of the volume of intersection of balls. Zbl 0628.46006Gromov, M. 5 1987 Infinite groups as geometric objects. Zbl 0586.20016Gromov, Mikhael 5 1984 Morse spectra, homology measures, spaces of cycles and parametric packing problems. Zbl 1456.53035Gromov, Misha 1 2020 Mean curvature in the light of scalar curvature. Zbl 07279528Gromov, Misha 1 2019 Metric inequalities with scalar curvature. Zbl 1396.53068Gromov, Misha 14 2018 A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052Gromov, Misha 4 2018 Great circle of mysteries. Mathematics, the world, the mind. Zbl 1433.00004Gromov, Misha 1 2018 Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003Gromov, Misha 6 2017 Marcel Berger remembered. Zbl 1377.01033LeBrun, Claude (ed.); Besson, Gérard; Gromov, Misha; Simons, James; Cheeger, Jeff; Bourguignon, Jean-Pierre; Sullivan, Dennis; Lafontaine, Jacques; Kazdan, Jerry; Michelsohn, Marie-Louise; Pansu, Pierre; Ebin, David; Grove, Karsten 1 2017 Colourful categories. Zbl 1329.05206Gromov, M. L. 3 2015 Dirac and Plateau billiards in domains with corners. Zbl 1315.53027Gromov, Misha 21 2014 Plateau-Stein manifolds. Zbl 1293.31006Gromov, Misha 7 2014 Manifolds: Where do we come from? What are we? Where are we going? Zbl 1304.57006Gromov, Mikhail 4 2014 In a search for a structure. I: On entropy. Zbl 1364.82009Gromov, Misha 3 2013 Overlap properties of geometric expanders. Zbl 1306.05171Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 32 2012 Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041Gromov, Misha; Guth, Larry 7 2012 Super stable Kählerian horseshoe? Zbl 1319.32025Gromov, M. 2 2012 Hilbert volume in metric spaces. I. Zbl 1243.53077Gromov, Misha 2 2012 Crystals, proteins, stability and isoperimetry. Zbl 1211.92019Gromov, Misha 3 2011 Overlap properties of geometric expanders (extended abstract). Zbl 1376.05101Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 2 2011 Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039Gromov, Mikhail 63 2010 Visions in mathematics. GAFA 2000 special volume, Part II. Proceedings of the meeting “Visions in Mathematics – Towards 2000, Tel Aviv, Israel, August 25–September 3, 1999. Special volume of the journal Geometric and Functional Analysis – GAFA. Reprint of the 2000 original. Zbl 1185.00038Alon, Noga (ed.); Bourgain, Jean (ed.); Connes, Alain (ed.); Gromov, Mikhael (ed.); Milman, Vitali D. (ed.) 1 2010 Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010Gromov, Mikhail 19 2009 Mesoscopic curvature and very small cancellation theory. Zbl 1197.20035Delzant, Thomas; Gromov, Misha 23 2008 Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043Gromov, Misha 21 2008 Mendelian dynamics and Sturtevant’s paradigm. Zbl 1207.92036Gromov, M. 3 2008 Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu. 3rd printing. Zbl 1113.53001Gromov, Misha 62 2007 Cuts in Kähler groups. Zbl 1116.32016Delzant, Thomas; Gromov, Misha 9 2005 Dynamical Morse entropy. Zbl 1155.37006Bertelson, Mélanie; Gromov, Misha 7 2004 Random walk in random groups. Zbl 1122.20021Gromov, M. 154 2003 Isoperimetry of waists and concentration of maps. Zbl 1044.46057Gromov, M. 99 2003 On the entropy of holomorphic maps. Zbl 1080.37051Gromov, Mikhaïl 75 2003 \(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029Gromov, M. 10 2001 Mathematical slices of molecular biology. Zbl 0991.92503Carbone, Alessandra; Gromov, Misha 6 2001 Mesoscopic curvature and hyperbolicity. Zbl 1006.53036Gromov, Misha 4 2001 Where does geometry go? A research and education perspective. Zbl 1005.53002Bourguignon, Jean-Pierre; Calabi, Eugenio; Eells, James; García-Prada, Oscar; Gromov, Misha 1 2001 Possible trends in mathematics in the coming decades. Zbl 1041.01503Gromov, Mikhael 1 2001 Spaces and questions. Zbl 1006.53035Gromov, Misha 51 2000 Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028Gromov, Mikhaïl 20 2000 GAFA 2000. Visions in mathematics—Towards 2000. Proceedings of a meeting, Tel Aviv, Israel, August 25–September 3, 1999. Part II. Special volume of the journal Geometric and Functional Analysis. Zbl 0960.00035Alon, N. (ed.); Bourgain, Jean (ed.); Connes, A. (ed.); Gromov, M. (ed.); Milman, V. (ed.) 1 2000 Pattern formation in biology, vision and dynamics. Including papers form the conference on pattern formation, Bures-sur-Yvette, France, December 2–6, 1997. Zbl 0959.00046Carbone, Alessandra (ed.); Gromov, Misha (ed.); Prusinkiewicz, Przemyslaw (ed.) 1 2000 Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu. Zbl 0953.53002Gromov, Misha 349 1999 Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001Gromov, M. 116 1999 Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322Gromov, Misha 84 1999 Quantitative homotopy theory. Zbl 0927.57022Gromov, Mikhael 10 1999 The sign and geometric meaning of the curvature. “Lezione Leonardesca”. Lectures held in Milano, Italy, June 1990. Transl. from the English by V. A. Zaitsev. Zbl 0995.53025Gromov, M. 2 1999 Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011Gromov, M.; Henkin, G.; Shubin, M. 20 1998 Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015Eliashberg, Yasha; Gromov, Misha 14 1998 Lagrangian intersections and the stable Morse theory. Zbl 0964.58009Eliashberg, Yasha; Gromov, Misha 4 1997 Carnot-Carathéodory spaces seen from within. Zbl 0864.53025Gromov, Mikhael 252 1996 Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022Gromov, M. 36 1996 Systoles and intersystolic inequalities. Zbl 0877.53002Gromov, Mikhael 30 1996 Geometric reflections on the Novikov conjecture. Zbl 0966.53028Gromov, Mikhael 2 1995 The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets. Zbl 0822.58046Gromov, Michael; Shubin, Mikhail A. 3 1994 Geometric group theory. Volume 2: Asymptotic invariants of infinite groups. Proceedings of the symposium held at the Sussex University, Brighton, July 14-19, 1991. Zbl 0841.20039Gromov, Mikhael 376 1993 Metric invariants of Kähler manifolds. Zbl 0888.53047Gromov, M. 71 1993 Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069Connes, A.; Gromov, M.; Moscovici, H. 21 1993 The Riemann-Roch theorem for elliptic operators. Zbl 0802.58051Gromov, Mikhael; Shubin, Mikhail A. 4 1993 The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets. Zbl 0826.58033Gromov, Mikhael; Shubin, Mikhail A. 2 1993 Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024Gromov, Mikhail; Schoen, Richard 126 1992 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 67 1992 A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018Burago, Yu.; Gromov, M.; Perel’man, G. 65 1992 Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012Eliashberg, Yakov; Gromov, Mikhael 28 1992 Spectral geometry of semi-algebraic sets. Zbl 0759.58048Gromov, Mikhael 10 1992 Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds. Zbl 0797.57016Gromov, M.; Shubin, M. A. 4 1992 Stability and pinching. Zbl 0780.53028Gromov, Mikhael 1 1992 The Riemann-Roch theorem for general elliptic operators. Zbl 0758.58030Gromov, Mikhaël; Shubin, Mikhail A. 1 1992 Kähler hyperbolicity and \(L_ 2\)-Hodge theory. Zbl 0719.53042Gromov, M. 88 1991 Convex symplectic manifolds. Zbl 0742.53010Eliashberg, Yakov; Gromov, Mikhael 65 1991 Sign and geometric meaning of curvature. Zbl 0820.53035Gromov, M. 38 1991 Von Neumann spectra near zero. Zbl 0751.58039Gromov, M.; Shubin, M. A. 31 1991 Rigidity of lattices: An introduction. Zbl 0786.22015Gromov, M.; Pansu, P. 23 1991 Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017D’Ambra, G.; Gromov, M. 21 1991 Chopping Riemannian manifolds. Zbl 0722.53045Cheeger, Jeff; Gromov, Mikhael 13 1991 Foliated Plateau problem. II: Harmonic maps of foliations. Zbl 0768.53012Gromov, M. 12 1991 Foliated Plateau problem. I: Minimal varieties. Zbl 0768.53011Gromov, Mikhael 9 1991 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043Cheeger, Jeff; Gromov, Mikhael 50 1990 Convex sets and Kähler manifolds. Zbl 0770.53042Gromov, M. 36 1990 Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri 13 1990 Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012Gromov, M. 69 1989 Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049Gromov, Michel 13 1989 Estimates of Bernstein widths of Sobolev spaces. Zbl 0683.46024Bourgain, J.; Gromov, M. 3 1989 Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007Gromov, M.; Piatetski-Shapiro, Ilya I. 51 1988 Rigid transformations groups. Zbl 0652.53023Gromov, Michael 24 1988 Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012Gromov, M.; Lawson, H. Blaine jun.; Thurston, W. 17 1988 Width and related invariants of Riemannian manifolds. Zbl 0684.53036Gromov, M. 5 1988 Dimension, nonlinear spectra and width. Zbl 0664.41019Gromov, M. 4 1988 Hyperbolic groups. Zbl 0634.20015Gromov, M. 620 1987 Pinching constants for hyperbolic manifolds. Zbl 0646.53037Gromov, Mikhael; Thurston, William P. 51 1987 Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007Gromov, M.; Milman, V. D. 42 1987 Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041Gromov, M. 29 1987 Soft and hard symplectic geometry. Zbl 0664.53016Gromov, M. 6 1987 Monotonicity of the volume of intersection of balls. Zbl 0628.46006Gromov, M. 5 1987 Cauchy-Riemann equation in Lagrange intersection theory. Zbl 0634.58001Gromov, M. 1 1987 Partial differential relations. Zbl 0651.53001Gromov, Mikhael 352 1986 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028Cheeger, Jeff; Gromov, Mikhael 93 1986 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020Cheeger, Jeff; Gromov, Mikhael 82 1986 Large Riemannian manifolds. Zbl 0601.53038Gromov, M. 15 1986 Soft and hard symplectic geometry. A plenary address presented at the international congress of mathematicians, Berkeley, CA, USA, August 1986. Videotape (NTSC; 60 min. VHS). Zbl 0917.53012Gromov, Mikhael 2 1986 Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025Gromov, M. 615 1985 Manifolds of nonpositive curvature. Zbl 0591.53001Ballmann, Werner; Gromov, Mikhael; Schroeder, Viktor 252 1985 Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034Cheeger, Jeff; Gromov, Mikhael 73 1985 ...and 44 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,851 Authors 35 Forstnerič, Franc 29 Ceccherini-Silberstein, Tullio G. 29 Dranishnikov, Alexander Nikolaevich 28 Gromov, Mikhael Leonidovich 24 Schröder, Viktor M. H. 23 Tsukamoto, Masaki 22 Hofer, Helmut H. W. 22 Yu, Guoliang 21 Coornaert, Michel 21 Katz, Mikhail G. 21 Myasnikov, Alexei G. 21 Naor, Assaf 20 Eliashberg, Yakov M. 19 Lubotzky, Alexander 19 Rong, Xiaochun 19 Sukhov, Alexandre B. 18 McDuff, Dusa 18 Osin, Denis V. 18 Weinberger, Shmuel 17 Kleiner, Bruce 17 Tessera, Romain 16 Calegari, Danny Matthew Cornelius 16 de Lima, Henrique F. 16 Lott, John 16 Mathai, Varghese 16 Monod, Nicolas 16 Saloff-Coste, Laurent 15 Bartholdi, Laurent 15 Bridson, Martin R. 15 Kutzschebauch, Frank 15 Le Donne, Enrico 15 Ol’shanskiĭ, Aleksandr Yur’evich 15 Schick, Thomas 15 Sormani, Christina 14 Dahmani, François 14 Elek, Gábor 14 Mj, Mahan 14 Polterovich, Leonid Viktorovich 14 Tien Cuong Dinh 13 Arzhantseva, Goulnara N. 13 Bowditch, Brian H. 13 Erschler, Anna 13 Farrell, F. Thomas 13 Grove, Karsten 13 Klartag, Bo’az 13 Magnani, Valentino 13 Milman, Emanuel 13 Pestov, Vladimir G. 13 Pittet, Christophe 13 Rodríguez García, José Manuel 13 Sapir, Mark Valentinovich 13 Shioya, Takashi 13 Thom, Andreas Berthold 13 Wise, Daniel T. 12 Anderson, Michael T. 12 Balogh, Zoltán M. 12 Besson, Gérard 12 Brudnyi, Alexander 12 Cieliebak, Kai 12 de Gosson, Maurice Alexis 12 Franchi, Bruno 12 Fujiwara, Koji 12 Guentner, Erik Paul 12 Ivanov, Sergei Vladimirovich 12 Kapovich, Michael 12 Lafont, Jean-François 12 Latrémolière, Frédéric 12 Milman, Vitali D. 12 Pansu, Pierre 12 Prástaro, Agostino 12 Rosales, César 12 Sabourau, Stéphane 12 Sibony, Nessim 12 Tian, Gang 12 Wei, Guofang 11 Belegradek, Igor 11 Botvinnik, Boris I. 11 Cheeger, Jeff 11 Chepoi, Victor D. 11 Fang, Fuquan 11 Frauenfelder, Urs Adrian 11 Funano, Kei 11 Gaussier, Hervé 11 Guth, Lawrence David 11 Hind, Richard K. 11 Kapovich, Ilya 11 Lárusson, Finnur 11 Li, Hanfeng 11 Löh, Clara 11 Loi, Andrea 11 Lück, Wolfgang 11 Papasoglu, Panos 11 Petersen, Peter V 11 Ramachandran, Mohan 11 Sisto, Alessandro 10 Buyalo, Sergei V. 10 de Cornulier, Yves 10 Druţu, Cornelia 10 Dydak, Jerzy 10 Gallot, Sylvestre ...and 4,751 more Authors all top 5 Cited in 447 Serials 260 Transactions of the American Mathematical Society 228 Proceedings of the American Mathematical Society 167 Inventiones Mathematicae 166 Geometry & Topology 165 Advances in Mathematics 163 Mathematische Annalen 158 Journal of Functional Analysis 157 Geometriae Dedicata 150 Duke Mathematical Journal 140 Geometric and Functional Analysis. 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Symmetry, Integrability and Geometry: Methods and Applications 16 Arkiv för Matematik 16 Commentarii Mathematici Helvetici 16 Functional Analysis and its Applications 16 Journal of Differential Equations 16 Monatshefte für Mathematik 16 Potential Analysis 16 Journal of Group Theory 16 Frontiers of Mathematics in China 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Discrete and Continuous Dynamical Systems 15 Proceedings of the Steklov Institute of Mathematics 15 Journal of Noncommutative Geometry 14 Illinois Journal of Mathematics 14 Nagoya Mathematical Journal 14 Proceedings of the Japan Academy. Series A 14 Theoretical Computer Science 14 European Journal of Combinatorics 14 Advances in Applied Mathematics 14 Chinese Annals of Mathematics. Series B 14 Journal of Fixed Point Theory and Applications 14 Science China. 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New Series 11 Electronic Research Announcements of the American Mathematical Society 11 Transformation Groups 11 Conformal Geometry and Dynamics ...and 347 more Serials all top 5 Cited in 61 Fields 2,586 Differential geometry (53-XX) 1,286 Manifolds and cell complexes (57-XX) 1,089 Group theory and generalizations (20-XX) 913 Global analysis, analysis on manifolds (58-XX) 621 Dynamical systems and ergodic theory (37-XX) 587 Several complex variables and analytic spaces (32-XX) 438 Topological groups, Lie groups (22-XX) 426 Functional analysis (46-XX) 352 Combinatorics (05-XX) 345 Partial differential equations (35-XX) 301 Algebraic topology (55-XX) 267 Algebraic geometry (14-XX) 258 General topology (54-XX) 257 Probability theory and stochastic processes (60-XX) 218 Convex and discrete geometry (52-XX) 206 Functions of a complex variable (30-XX) 205 Abstract harmonic analysis (43-XX) 174 Calculus of variations and optimal control; optimization (49-XX) 154 Geometry (51-XX) 152 Measure and integration (28-XX) 140 Computer science (68-XX) 131 Operator theory (47-XX) 107 Quantum theory (81-XX) 106 \(K\)-theory (19-XX) 80 Number theory (11-XX) 79 Associative rings and algebras (16-XX) 76 Mathematical logic and foundations (03-XX) 64 Real functions (26-XX) 59 Potential theory (31-XX) 57 Relativity and gravitational theory (83-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 45 Category theory; homological algebra (18-XX) 41 Statistical mechanics, structure of matter (82-XX) 35 Biology and other natural sciences (92-XX) 34 Nonassociative rings and algebras (17-XX) 34 Mechanics of particles and systems (70-XX) 33 Ordinary differential equations (34-XX) 29 Systems theory; control (93-XX) 28 Numerical analysis (65-XX) 28 Fluid mechanics (76-XX) 27 Information and communication theory, circuits (94-XX) 24 Operations research, mathematical programming (90-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 22 Statistics (62-XX) 22 Mechanics of deformable solids (74-XX) 21 General and overarching topics; collections (00-XX) 21 History and biography (01-XX) 18 Commutative algebra (13-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 11 Approximations and expansions (41-XX) 9 Difference and functional equations (39-XX) 8 Special functions (33-XX) 8 Integral transforms, operational calculus (44-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Field theory and polynomials (12-XX) 4 Classical thermodynamics, heat transfer (80-XX) 1 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-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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