Edit Profile (opens in new tab) Gromov, Mikhael Leonidovich Co-Author Distance Author ID: gromov.mikhael Published as: Gromov, M.; Gromov, Mikhael; Gromov, Misha; Gromov, M. L.; Gromov, Mikhail; Gromov, Michael; Gromov, Mikhaïl; Gromov, Mikhail L.; Gromov, Mikhail Leonidovich; Gromov, Mikhaël; Gromov, Michel more...less Further Spellings: Gromow, Misha; Громов Михаил Леонидович Homepage: http://www.ihes.fr/~gromov/ External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Awards: Wolf Prize (1993) · Kyoto Prize in Basic Sciences (2002) · Abel Prize (2009) Documents Indexed: 161 Publications since 1967, including 10 Books 9 Contributions as Editor · 8 Further Contributions Biographic References: 17 Publications Co-Authors: 97 Co-Authors with 77 Joint Publications 4,147 Co-Co-Authors all top 5 Co-Authors 96 single-authored 11 Eliashberg, Yakov Matveevich 10 Cheeger, Jeff 9 Shubin, Mikhail Aleksandrovich 8 Milman, Vitali D. 7 Lawson, Herbert Blaine jun. 6 Connes, Alain 5 Bourgain, Jean 4 Alon, Noga 4 Pansu, Pierre 3 Bourguignon, Jean-Pierre 3 Carbone, Alessandra 3 Eells, James jun. 3 Lafontaine, Jacques 3 Raussen, Martin 3 Skau, Christian Fredrik 2 Braverman, Maxim 2 Bukhshtaber, Viktor Matveevich 2 Burago, Yuriĭ Dmitrievich 2 Calabi, Eugenio 2 Delzant, Thomas 2 Donaldson, Simon Kirwan 2 Fox, Jacob 2 Friedlander, Leonid 2 García-Prada, Oscar 2 Ivrii, Victor Ja. 2 Katz, Mikhail G. 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 Reshetnyak, Yuriĭ Grigor’evich 2 Rokhlin, Vladimir Abramovich 2 Semmes, Stephen W. 2 Sinaĭ, Yakov Grigor’evich 2 Sunada, Toshikazu 2 Thurston, William Paul 2 Tits, Jacques 2 Vershik, Anatoliĭ Moiseevich 1 Abramov, L. M. 1 Aptekarev, Alexander Ivanovich 1 Atiyah, Michael Francis 1 Ballmann, Hans Werner 1 Bertelson, Mélanie 1 Besson, Gérard 1 Birman, Mikhail Shlëmovich 1 Bismut, Jean-Michel 1 Bogopolski, Oleg 1 Brin, Michael 1 Bryant, Robert L. 1 Burago, Dmitri 1 Capasso, Vincenzo 1 Carleson, Lennart 1 Chirka, Evgeniĭ Mikhaĭlovich 1 D’Ambra, Giuseppina 1 Deligne, Pierre René 1 Dikansky, Arnold 1 Ebin, David G. 1 Faddeev, Dmitriĭ Konstantinovich 1 Fomin, Vladimir Nikolaevich 1 Fuchs, Dmitry Borisovich 1 Fuglede, Bent 1 Fukaya, Kenji 1 Griffiths, Phillip Augustus 1 Grove, Karsten 1 Guth, Lawrence David 1 Harel-Bellan, Annick 1 Hitchin, Nigel 1 Ibragimov, Il’dar Abdullovich 1 Ilyashenko, Yulij Sergeevich 1 Ivanov, Sergei Vladimirovich 1 Kashin, Boris Sergeevich 1 Kazdan, Jerry L. 1 Kesel’man, V. M. 1 Kislyakov, Sergeĭ Vital’evich 1 Kontsevich, Maxim 1 Kozlov, Valeriĭ Vasil’evich 1 Krichever, Igor’ Moiseevich 1 Kruzhilin, Nikolai Georgievich 1 Kutateladze, Semën Samsonovich 1 Lando, Sergei K. 1 Langevin, Rémi 1 Lax, Peter David 1 LeBrun, Claude R. 1 Linnik, Yuriĭ Vladimirovich 1 Lodkin, A. A. 1 Lozinskiĭ, Sergeĭ Mikhaĭlovich 1 Lozinskij, V. I. 1 Manin, Yuriĭ Ivanovich 1 Marcus, Adam W. 1 Margulis, Grigoriĭ Aleksandrovich 1 Matiyasevich, Yuriĭ Vladimirovich 1 McOwen, Robert C. 1 Michelsohn, Marie-Louise 1 Milnor, John Willard ...and 41 more Co-Authors all top 5 Serials 11 Geometric and Functional Analysis. GAFA 9 Journal of Differential Geometry 6 Russian Mathematical Surveys 6 Publications Mathématiques 4 Inventiones Mathematicae 4 Mathematics of the USSR. Izvestiya 4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 4 Notices of the American Mathematical Society 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 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 European Mathematical Society Newsletter 1 U Sviti Matematyky 1 Mathematical Physics, Analysis and Geometry 1 Journal of the European Mathematical Society (JEMS) 1 Entropy 1 Cambridge Tracts in Mathematics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Lecture Notes in Mathematics 1 London Mathematical Society Lecture Note Series 1 Proceedings of the Steklov Institute of Mathematics 1 Biblioteka Matematika (Izhevsk) 1 International Mathematical Series (New York) 1 Groups, Geometry, and Dynamics 1 Journal of Topology 1 Springer Proceedings in Mathematics all top 5 Fields 88 Differential geometry (53-XX) 50 Manifolds and cell complexes (57-XX) 46 Global analysis, analysis on manifolds (58-XX) 21 History and biography (01-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Group theory and generalizations (20-XX) 10 General and overarching topics; collections (00-XX) 8 Partial differential equations (35-XX) 8 Geometry (51-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 7 Convex and discrete geometry (52-XX) 6 Combinatorics (05-XX) 6 Functional analysis (46-XX) 5 Biology and other natural sciences (92-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 3 Measure and integration (28-XX) 2 Mathematical logic and foundations (03-XX) 2 Potential theory (31-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 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 149 Publications have been cited 9,665 times in 7,402 Documents Cited by ▼ Year ▼ Hyperbolic groups. Zbl 0634.20015Gromov, M. 819 1987 Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025Gromov, M. 738 1985 Groups of polynomial growth and expanding maps. Appendix by Jacques Tits. Zbl 0474.20018Gromov, Mikhael 646 1981 Partial differential relations. Zbl 0651.53001Gromov, Mikhael 430 1986 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 366 1993 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 352 1999 Filling Riemannian manifolds. Zbl 0515.53037Gromov, Mikhael 336 1983 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 333 1982 Carnot-Carathéodory spaces seen from within. Zbl 0864.53025Gromov, Mikhael 314 1996 Volume and bounded cohomology. Zbl 0516.53046Gromov, M. 292 1982 Manifolds of nonpositive curvature. Zbl 0591.53001Ballmann, Werner; Gromov, Mikhael; Schroeder, Viktor 286 1985 Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013Milman, Vitali D.; Schechtman, Gideon 277 1986 Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. Zbl 0538.53047Gromov, Mikhael; Lawson, H. Blaine jun. 250 1983 Random walk in random groups. Zbl 1122.20021Gromov, M. 187 2003 The classification of simply connected manifolds of positive scalar curvature. Zbl 0463.53025Gromov, Mikhael; Lawson, H. Blaine jun. 184 1980 Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024Gromov, Mikhail; Schoen, Richard 162 1992 Metric structures for Riemannian manifolds. (Structures métriques pour les variétés riemanniennes. Rédigé par J. Lafontaine et P. Pansu.) Zbl 0509.53034Gromov, M. 148 1981 A topological application of the isoperimetric inequality. Zbl 0522.53039Gromov, Mikhael; Milman, V. D. 144 1983 Isoperimetry of waists and concentration of maps. Zbl 1044.46057Gromov, M. 142 2003 Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001Gromov, M. 137 1999 Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322Gromov, Misha 124 1999 Curvature, diameter and Betti numbers. Zbl 0467.53021Gromov, Michael 124 1981 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 117 2007 Spin and scalar curvature in the presence of a fundamental group. I. Zbl 0445.53025Gromov, Mikhael; Lawson, H. Blaine jun. 115 1980 Kähler hyperbolicity and \(L_ 2\)-Hodge theory. Zbl 0719.53042Gromov, M. 108 1991 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028Cheeger, Jeff; Gromov, Mikhael 106 1986 On the entropy of holomorphic maps. Zbl 1080.37051Gromov, Mikhaïl 103 2003 Almost flat manifolds. Zbl 0432.53020Gromov, M. 98 1978 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020Cheeger, Jeff; Gromov, Mikhael 91 1986 Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012Gromov, M. 88 1989 A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018Burago, Yu.; Gromov, M.; Perel’man, G. 85 1992 Convex symplectic manifolds. Zbl 0742.53010Eliashberg, Yakov; Gromov, Mikhael 84 1991 Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034Cheeger, Jeff; Gromov, Mikhael 82 1985 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 81 1992 Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039Gromov, Mikhail 81 2010 Metric invariants of Kähler manifolds. Zbl 0888.53047Gromov, M. 77 1993 Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001Eells, J.; Fuglede, B. 70 2001 Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007Gromov, M.; Piatetski-Shapiro, Ilya I. 67 1988 Homotopical effects of dilatation. Zbl 0427.58010Gromov, Mikhael 63 1978 Pinching constants for hyperbolic manifolds. Zbl 0646.53037Gromov, Mikhael; Thurston, William P. 60 1987 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043Cheeger, Jeff; Gromov, Mikhael 58 1990 Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007Gromov, M.; Milman, V. D. 58 1987 Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022Gromov, M. 57 1996 Manifolds of negative curvature. Zbl 0433.53028Gromov, M. 57 1978 Spaces and questions. Special volume of the journal Geometric and Functional Analysis. Zbl 1006.53035Gromov, Misha 56 2000 Convex sets and Kähler manifolds. Zbl 0770.53042Gromov, M. 55 1990 Sign and geometric meaning of curvature. Zbl 0820.53035Gromov, M. 49 1991 Systoles and intersystolic inequalities. Zbl 0877.53002Gromov, Mikhael 42 1996 Overlap properties of geometric expanders. Zbl 1306.05171Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 41 2012 Hyperbolic manifolds, groups and actions. Zbl 0467.53035Gromov, M. 41 1981 Convex integration of differential relations. I. Zbl 0281.58004Gromov, M. L. 40 1974 Metric inequalities with scalar curvature. Zbl 1396.53068Gromov, Misha 40 2018 Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017D’Ambra, G.; Gromov, M. 38 1991 Von Neumann spectra near zero. Zbl 0751.58039Gromov, M.; Shubin, M. A. 37 1991 Dirac and Plateau billiards in domains with corners. Zbl 1315.53027Gromov, Misha 36 2014 On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036Cheeger, Jeff; Gromov, Mikhael 35 1985 Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041Gromov, M. 35 1987 Embeddings and immersions in Riemannian geometry. Zbl 0222.53053Gromov, M. L.; Rokhlin, V. A. 35 1970 Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012Eliashberg, Yakov; Gromov, Mikhael 32 1992 Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010Gromov, Mikhail 30 2009 Mesoscopic curvature and very small cancellation theory. (Courbure mésoscopique et théorie de la toute petite simplification.) Zbl 1197.20035Delzant, Thomas; Gromov, Misha 29 2008 Rigidity of lattices: An introduction. Zbl 0786.22015Gromov, M.; Pansu, P. 28 1991 Rigid transformations groups. Zbl 0652.53023Gromov, Michael 27 1988 Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028Gromov, Mikhaïl 26 2000 Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069Connes, A.; Gromov, M.; Moscovici, H. 25 1993 Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043Gromov, Misha 24 2008 Infinite groups as geometric objects. Zbl 0599.20041Gromov, Mikhael 22 1984 On the ergodicity of frame flows. Zbl 0445.58023Brin, M.; Gromov, M. 21 1980 Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011Gromov, M.; Henkin, G.; Shubin, M. 21 1998 Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012Gromov, M.; Lawson, H. Blaine jun.; Thurston, W. 20 1988 Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri 20 1990 Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015Eliashberg, Yasha; Gromov, Misha 20 1998 Stable mappings of foliations into manifolds. Zbl 0205.53502Gromov, M. L. 19 1971 Hyperbolic manifolds according to Thurston and Jorgensen. Zbl 0452.51017Gromov, Michael 18 1981 Embeddings and immersions in Riemannian geometry. (Einbettungen und Immersionen in der Riemannschen Geometrie.) Zbl 0202.21004Gromov, M. L.; Rokhlin, V. A. 17 1970 Large Riemannian manifolds. Zbl 0601.53038Gromov, M. 16 1986 Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049Gromov, Michel 16 1989 Chopping Riemannian manifolds. Zbl 0722.53045Cheeger, Jeff; Gromov, Mikhael 16 1991 Quantitative homotopy theory. Zbl 0927.57022Gromov, Mikhael 16 1999 Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041Gromov, Misha; Guth, Larry 14 2012 A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052Gromov, Misha 14 2018 Dimension, nonlinear spectra and width. Zbl 0664.41019Gromov, M. 13 1988 Cuts in Kähler groups. Zbl 1116.32016Delzant, Thomas; Gromov, Misha 13 2005 Foliated Plateau problem. II: Harmonic maps of foliations. Zbl 0768.53012Gromov, M. 12 1991 Foliated Plateau problem. I: Minimal varieties. Zbl 0768.53011Gromov, Mikhael 12 1991 Isometric imbeddings and immersions. Zbl 0214.50404Gromov, M. L. 12 1970 Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003Gromov, Misha 11 2017 Plateau-Stein manifolds. Zbl 1293.31006Gromov, Misha 11 2014 Konvexe Integration von Differentialrelationen. I. Zbl 0254.58001Gromov, M. L. 11 1973 Infinite groups as geometric objects. Zbl 0586.20016Gromov, Mikhael 10 1984 Stabile Abbildungen von Blätterungen in Mannigfaltigkeiten. Zbl 0197.20404Gromov, M. L. 10 1969 Width and related invariants of Riemannian manifolds. Zbl 0684.53036Gromov, M. 10 1988 \(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029Gromov, M. 9 2001 Brunn theorem and a concentration of volume phenomena for symmetric convex bodies. Zbl 0953.52500Gromov, M.; Milman, V. D. 9 1984 A topological technique for the construction of solutions of differential equations and inequalities. Zbl 0237.57019Gromov, M. L. 9 1971 Spectral geometry of semi-algebraic sets. Zbl 0759.58048Gromov, Mikhael 8 1992 Dynamical Morse entropy. Zbl 1155.37006Bertelson, Mélanie; Gromov, Misha 8 2004 Über eine geometrische Hypothese von Banach. Zbl 0162.44402Gromov, M. L. 8 1967 Monotonicity of the volume of intersection of balls. Zbl 0628.46006Gromov, M. 7 1987 Mesoscopic curvature and hyperbolicity. Zbl 1006.53036Gromov, Misha 7 2001 Four lectures on scalar curvature. Zbl 07733259Gromov, Misha 6 2023 Morse spectra, homology measures, spaces of cycles and parametric packing problems. Zbl 1456.53035Gromov, Misha 2 2020 Mean curvature in the light of scalar curvature. (Courbure moyenne à la lumière de la courbure scalaire.) Zbl 1467.53041Gromov, Misha 7 2019 Metric inequalities with scalar curvature. Zbl 1396.53068Gromov, Misha 40 2018 A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052Gromov, Misha 14 2018 Great circle of mysteries. Mathematics, the world, the mind. Zbl 1433.00004Gromov, Misha 2 2018 Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003Gromov, Misha 11 2017 Marcel Berger remembered. Zbl 1377.01033Besson, 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 36 2014 Plateau-Stein manifolds. Zbl 1293.31006Gromov, Misha 11 2014 Manifolds: Where do we come from? What are we? Where are we going? Zbl 1304.57006Gromov, Mikhail 5 2014 In a search for a structure. I: On entropy. Zbl 1364.82009Gromov, Misha 5 2013 Overlap properties of geometric expanders. Zbl 1306.05171Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 41 2012 Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041Gromov, Misha; Guth, Larry 14 2012 Super stable Kählerian horseshoe? Zbl 1319.32025Gromov, M. 3 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 81 2010 Interview with Mikhail Gromov. Zbl 1191.01052Raussen, Martin; Skau, Christian 2 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 1185.00038 1 2010 Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010Gromov, Mikhail 30 2009 Mesoscopic curvature and very small cancellation theory. (Courbure mésoscopique et théorie de la toute petite simplification.) Zbl 1197.20035Delzant, Thomas; Gromov, Misha 29 2008 Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043Gromov, Misha 24 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 117 2007 Cuts in Kähler groups. Zbl 1116.32016Delzant, Thomas; Gromov, Misha 13 2005 Dynamical Morse entropy. Zbl 1155.37006Bertelson, Mélanie; Gromov, Misha 8 2004 Random walk in random groups. Zbl 1122.20021Gromov, M. 187 2003 Isoperimetry of waists and concentration of maps. Zbl 1044.46057Gromov, M. 142 2003 On the entropy of holomorphic maps. Zbl 1080.37051Gromov, Mikhaïl 103 2003 Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001Eells, J.; Fuglede, B. 70 2001 \(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029Gromov, M. 9 2001 Mesoscopic curvature and hyperbolicity. Zbl 1006.53036Gromov, Misha 7 2001 Mathematical slices of molecular biology. Zbl 0991.92503Carbone, Alessandra; Gromov, Misha 6 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. Special volume of the journal Geometric and Functional Analysis. Zbl 1006.53035Gromov, Misha 56 2000 Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028Gromov, Mikhaïl 26 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 0959.00046 2 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 0960.00035 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 352 1999 Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001Gromov, M. 137 1999 Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322Gromov, Misha 124 1999 Quantitative homotopy theory. Zbl 0927.57022Gromov, Mikhael 16 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. (Znak i geometricheskij smysl krivizny.) Zbl 0995.53025Gromov, M. 2 1999 Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011Gromov, M.; Henkin, G.; Shubin, M. 21 1998 Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015Eliashberg, Yasha; Gromov, Misha 20 1998 \(L^2\) holomorphic functions on pseudo-convex coverings. Zbl 0897.32005Gromov, M.; Henkin, G.; Shubin, M. 1 1998 Lagrangian intersections and the stable Morse theory. Zbl 0964.58009Eliashberg, Yasha; Gromov, Misha 3 1997 Carnot-Carathéodory spaces seen from within. Zbl 0864.53025Gromov, Mikhael 314 1996 Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022Gromov, M. 57 1996 Systoles and intersystolic inequalities. Zbl 0877.53002Gromov, Mikhael 42 1996 Geometric reflections on the Novikov conjecture. Zbl 0966.53028Gromov, Mikhael 5 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 366 1993 Metric invariants of Kähler manifolds. Zbl 0888.53047Gromov, M. 77 1993 Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069Connes, A.; Gromov, M.; Moscovici, H. 25 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 162 1992 A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018Burago, Yu.; Gromov, M.; Perel’man, G. 85 1992 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 81 1992 Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012Eliashberg, Yakov; Gromov, Mikhael 32 1992 Spectral geometry of semi-algebraic sets. Zbl 0759.58048Gromov, Mikhael 8 1992 Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds. Zbl 0797.57016Gromov, M.; Shubin, M. A. 4 1992 The Riemann-Roch theorem for general elliptic operators. Zbl 0758.58030Gromov, Mikhaël; Shubin, Mikhail A. 1 1992 Stability and pinching. Zbl 0780.53028Gromov, Mikhael 1 1992 Kähler hyperbolicity and \(L_ 2\)-Hodge theory. Zbl 0719.53042Gromov, M. 108 1991 Convex symplectic manifolds. Zbl 0742.53010Eliashberg, Yakov; Gromov, Mikhael 84 1991 Sign and geometric meaning of curvature. Zbl 0820.53035Gromov, M. 49 1991 Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017D’Ambra, G.; Gromov, M. 38 1991 Von Neumann spectra near zero. Zbl 0751.58039Gromov, M.; Shubin, M. A. 37 1991 Rigidity of lattices: An introduction. Zbl 0786.22015Gromov, M.; Pansu, P. 28 1991 Chopping Riemannian manifolds. Zbl 0722.53045Cheeger, Jeff; Gromov, Mikhael 16 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 12 1991 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043Cheeger, Jeff; Gromov, Mikhael 58 1990 Convex sets and Kähler manifolds. Zbl 0770.53042Gromov, M. 55 1990 Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri 20 1990 Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012Gromov, M. 88 1989 Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049Gromov, Michel 16 1989 Estimates of Bernstein widths of Sobolev spaces. Zbl 0683.46024Bourgain, J.; Gromov, M. 4 1989 Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007Gromov, M.; Piatetski-Shapiro, Ilya I. 67 1988 Rigid transformations groups. Zbl 0652.53023Gromov, Michael 27 1988 Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012Gromov, M.; Lawson, H. Blaine jun.; Thurston, W. 20 1988 Dimension, nonlinear spectra and width. Zbl 0664.41019Gromov, M. 13 1988 Width and related invariants of Riemannian manifolds. Zbl 0684.53036Gromov, M. 10 1988 Hyperbolic groups. Zbl 0634.20015Gromov, M. 819 1987 Pinching constants for hyperbolic manifolds. Zbl 0646.53037Gromov, Mikhael; Thurston, William P. 60 1987 Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007Gromov, M.; Milman, V. D. 58 1987 Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041Gromov, M. 35 1987 Monotonicity of the volume of intersection of balls. Zbl 0628.46006Gromov, M. 7 1987 Soft and hard symplectic geometry. Zbl 0664.53016Gromov, M. 6 1987 Partial differential relations. Zbl 0651.53001Gromov, Mikhael 430 1986 Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013Milman, Vitali D.; Schechtman, Gideon 277 1986 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028Cheeger, Jeff; Gromov, Mikhael 106 1986 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020Cheeger, Jeff; Gromov, Mikhael 91 1986 Large Riemannian manifolds. Zbl 0601.53038Gromov, M. 16 1986 ...and 49 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,888 Authors 41 Forstnerič, Franc 33 Ceccherini-Silberstein, Tullio G. 31 Dranishnikov, Alexander Nikolaevich 28 Gromov, Mikhael Leonidovich 27 Katz, Mikhail G. 27 Tsukamoto, Masaki 26 Yu, Guoliang 25 Coornaert, Michel 24 Eliashberg, Yakov Matveevich 24 Hofer, Helmut H. W. 24 Schröder, Viktor M. H. 23 Löh, Clara 23 Myasnikov, Alexei G. 22 Naor, Assaf 20 de Lima, Henrique F. 20 Kleiner, Bruce 20 Lubotzky, Alexander 20 Mathai, Varghese 20 Rong, Xiaochun 20 Sukhov, Alexandre B. 20 Tessera, Romain 19 Kutzschebauch, Frank 19 Lott, John 18 McDuff, Dusa 18 Monod, Nicolas 18 Saloff-Coste, Laurent 18 Schick, Thomas 18 Tien Cuong Dinh 18 Weinberger, Shmuel 17 Bridson, Martin R. 17 Chepoi, Victor D. 17 Mj, Mahan 17 Osin, Denis V. 17 Polterovich, Leonid Viktorovich 16 Bartholdi, Laurent 16 Calegari, Danny Matthew Cornelius 16 Fujiwara, Koji 16 Kapovich, Michael 16 Ol’shanskiĭ, Aleksandr Yur’evich 16 Shioya, Takashi 16 Sormani, Christina 15 Erschler, Anna 15 Franchi, Bruno 15 Klartag, Bo’az 15 Latrémolière, Frédéric 15 Le Donne, Enrico 15 Magnani, Valentino 15 Rodríguez García, José Manuel 15 Rosales, César 15 Sabourau, Stéphane 15 Sisto, Alessandro 15 Wise, Daniel T. 14 Anderson, Michael T. 14 Arzhantseva, Goulnara N. 14 Botvinnik, Boris I. 14 Dahmani, François 14 de Gosson, Maurice Alexis 14 Elek, Gábor 14 Kim, Inkang 14 Lafont, Jean-François 14 Lárusson, Finnur 14 Mese, Chikako 14 Milman, Emanuel 14 Nabutovsky, Alexander 14 Pansu, Pierre 14 Rotman, Regina 14 Thom, Andreas Berthold 13 Besson, Gérard 13 Cieliebak, Kai 13 Coulon, Rémi 13 de Cornulier, Yves 13 Farrell, F. Thomas 13 Grove, Karsten 13 Ivanov, Sergei Vladimirovich 13 Lück, Wolfgang 13 Petersen, Peter V 13 Pinamonti, Andrea 13 Pittet, Christophe 13 Prástaro, Agostino 13 Sapir, Mark Valentinovich 12 Balogh, Zoltán M. 12 Belegradek, Igor 12 Bowditch, Brian H. 12 Bucher, Michelle 12 Casals, Roger 12 Guentner, Erik Paul 12 Li, Hanfeng 12 Loi, Andrea 12 Milman, Vitali D. 12 Papasoglu, Panos 12 Pestov, Vladimir G. 12 Ramachandran, Mohan 12 Ritoré, Manuel 12 Sauer, Roman 12 Sibony, Nessim 12 Székelyhidi, László jun. 12 Tian, Gang 12 Wei, Guofang 11 Brudnyi, Alexander 11 Cheeger, Jeff ...and 5,788 more Authors all top 5 Cited in 519 Serials 277 Transactions of the American Mathematical Society 250 Proceedings of the American Mathematical Society 198 Advances in Mathematics 198 Geometriae Dedicata 198 Geometry & Topology 187 Inventiones Mathematicae 184 Mathematische Annalen 177 The Journal of Geometric Analysis 170 Mathematische Zeitschrift 159 Geometric and Functional Analysis. GAFA 158 Duke Mathematical Journal 158 Journal of Functional Analysis 151 Algebraic & Geometric Topology 137 Annales de l’Institut Fourier 124 Israel Journal of Mathematics 116 Topology and its Applications 101 Differential Geometry and its Applications 96 Journal of Topology and Analysis 95 Groups, Geometry, and Dynamics 92 Journal of Algebra 79 Communications in Mathematical Physics 79 Ergodic Theory and Dynamical Systems 75 Annals of Global Analysis and Geometry 72 Calculus of Variations and Partial Differential Equations 69 Bulletin of the American Mathematical Society. New Series 64 Journal of Geometry and Physics 64 Journal für die Reine und Angewandte Mathematik 61 Journal of the American Mathematical Society 58 Journal of Mathematical Analysis and Applications 56 International Journal of Mathematics 56 Comptes Rendus. Mathématique. Académie des Sciences, Paris 53 Annals of Mathematics. Second Series 50 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 50 Compositio Mathematica 47 International Journal of Algebra and Computation 45 Manuscripta Mathematica 42 Discrete & Computational Geometry 42 Journal of Mathematical Sciences (New York) 42 Communications in Contemporary Mathematics 40 Journal of the European Mathematical Society (JEMS) 36 Siberian Mathematical Journal 35 Bulletin of the London Mathematical Society 35 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 34 Acta Mathematica 34 Journal of Topology 33 Publications Mathématiques 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Journal of Pure and Applied Algebra 30 Revista Matemática Iberoamericana 27 Journal d’Analyse Mathématique 27 Analysis and Geometry in Metric Spaces 26 Mathematical Proceedings of the Cambridge Philosophical Society 26 Annali di Matematica Pura ed Applicata. Serie Quarta 26 Bulletin de la Société Mathématique de France 26 Bulletin des Sciences Mathématiques 26 Journal of Dynamical and Control Systems 25 Mathematical Notes 25 Archiv der Mathematik 25 Memoirs of the American Mathematical Society 25 Probability Theory and Related Fields 25 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 25 Journal of Fixed Point Theory and Applications 24 Discrete Mathematics 24 Tôhoku Mathematical Journal. Second Series 24 Journal de Mathématiques Pures et Appliquées. Neuvième Série 24 St. Petersburg Mathematical Journal 24 Acta Mathematica Sinica. English Series 23 Expositiones Mathematicae 23 Journal of Noncommutative Geometry 22 The Annals of Probability 21 Communications in Algebra 21 Potential Analysis 21 Journal of Group Theory 20 Journal of Mathematical Physics 20 Commentarii Mathematici Helvetici 20 Science China. Mathematics 19 Functional Analysis and its Applications 19 Journal of Differential Equations 19 Pacific Journal of Mathematics 18 Archive for Rational Mechanics and Analysis 18 Journal of the Mathematical Society of Japan 18 Nagoya Mathematical Journal 18 Chinese Annals of Mathematics. Series B 17 Selecta Mathematica. New Series 17 Discrete and Continuous Dynamical Systems 17 Oberwolfach Reports 17 Proceedings of the Steklov Institute of Mathematics 17 Frontiers of Mathematics in China 17 Forum of Mathematics, Sigma 16 Arkiv för Matematik 16 Journal of the London Mathematical Society. Second Series 16 Michigan Mathematical Journal 16 Monatshefte für Mathematik 16 Advances in Applied Mathematics 16 Transformation Groups 15 Illinois Journal of Mathematics 15 Journal of Differential Geometry 15 Theoretical Computer Science 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Mathematische Nachrichten ...and 419 more Serials all top 5 Cited in 62 Fields 3,196 Differential geometry (53-XX) 1,551 Manifolds and cell complexes (57-XX) 1,335 Group theory and generalizations (20-XX) 1,109 Global analysis, analysis on manifolds (58-XX) 817 Dynamical systems and ergodic theory (37-XX) 698 Several complex variables and analytic spaces (32-XX) 537 Topological groups, Lie groups (22-XX) 528 Functional analysis (46-XX) 447 Partial differential equations (35-XX) 444 Combinatorics (05-XX) 372 Algebraic topology (55-XX) 360 Algebraic geometry (14-XX) 323 Probability theory and stochastic processes (60-XX) 300 General topology (54-XX) 271 Convex and discrete geometry (52-XX) 251 Functions of a complex variable (30-XX) 230 Abstract harmonic analysis (43-XX) 224 Calculus of variations and optimal control; optimization (49-XX) 219 Geometry (51-XX) 190 Computer science (68-XX) 189 Measure and integration (28-XX) 149 Operator theory (47-XX) 148 \(K\)-theory (19-XX) 136 Quantum theory (81-XX) 107 Number theory (11-XX) 90 Mathematical logic and foundations (03-XX) 86 Real functions (26-XX) 83 Associative rings and algebras (16-XX) 81 Relativity and gravitational theory (83-XX) 73 Potential theory (31-XX) 62 Category theory; homological algebra (18-XX) 57 Harmonic analysis on Euclidean spaces (42-XX) 57 Statistical mechanics, structure of matter (82-XX) 51 Mechanics of particles and systems (70-XX) 46 Nonassociative rings and algebras (17-XX) 41 Ordinary differential equations (34-XX) 41 Biology and other natural sciences (92-XX) 40 General and overarching topics; collections (00-XX) 40 Information and communication theory, circuits (94-XX) 37 Fluid mechanics (76-XX) 35 History and biography (01-XX) 34 Numerical analysis (65-XX) 32 Operations research, mathematical programming (90-XX) 32 Systems theory; control (93-XX) 29 Statistics (62-XX) 28 Mechanics of deformable solids (74-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 22 Commutative algebra (13-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 14 Approximations and expansions (41-XX) 11 Special functions (33-XX) 11 Difference and functional equations (39-XX) 9 Field theory and polynomials (12-XX) 9 Integral transforms, operational calculus (44-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-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. Updates and corrections should be made in Wikidata.