Edit Profile (opens in new tab) Gromov, Mikhael Leonidovich Compute Distance To: Compute Author ID: gromov.mikhael Published as: Gromov, M.; Gromov, Mikhael; Gromov, Misha; Gromov, M. L.; Gromov, Mikhail; Gromov, Michael; Gromov, Mikhaïl; Gromov, Mikhail Leonidovich; Gromov, Mikhail L.; 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: 159 Publications since 1967, including 10 Books 8 Contributions as Editor · 7 Further Contributions Biographic References: 17 Publications Co-Authors: 97 Co-Authors with 74 Joint Publications 4,000 Co-Co-Authors all top 5 Co-Authors 95 single-authored 11 Eliashberg, Yakov Matveevich 9 Cheeger, Jeff 9 Shubin, Mikhail Aleksandrovich 8 Milman, Vitali D. 6 Connes, Alain 5 Bourgain, Jean 5 Lawson, Herbert Blaine jun. 4 Alon, Noga M. 4 Pansu, Pierre 3 Carbone, Alessandra 3 Lafontaine, Jacques 3 Raussen, Martin 3 Skau, Christian Fredrik 2 Bourguignon, Jean-Pierre 2 Braverman, Maxim 2 Bukhshtaber, Viktor Matveevich 2 Burago, Yuriĭ Dmitrievich 2 Delzant, Thomas 2 Eells, James jun. 2 Fox, Jacob 2 Friedlander, Leonid 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 Bogopolski, Oleg 1 Brin, Michael 1 Burago, Dmitri 1 Calabi, Eugenio 1 Capasso, Vincenzo 1 Carleson, Lennart 1 Chirka, Evgeni M. 1 D’Ambra, Giuseppina 1 Deligne, Pierre René 1 Dikansky, Arnold 1 Donaldson, Simon Kirwan 1 Ebin, David G. 1 Faddeev, Dmitriĭ Konstantinovich 1 Fomin, Vladimir Nikolaevich 1 Fuchs, Dmitry Borisovich 1 Fuglede, Bent 1 Fukaya, Kenji 1 García-Prada, Oscar 1 Grove, Karsten 1 Guth, Lawrence David 1 Harel-Bellan, Annick 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 Lvovich 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, Yuri Ivanovich 1 Margulis, Grigoriĭ Aleksandrovich 1 Matiyasevich, Yuriĭ Vladimirovich 1 McOwen, Robert C. 1 Michelsohn, Marie-Louise 1 Milnor, John Willard 1 Mnëv, Nikolai Evgen’evich 1 Morozova, Nadya 1 Nash, John Forbes jun. 1 Nazarov, Alexander I. 1 Nemirovskiĭ, Stefan Yur’evich ...and 33 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 3 Mathematical Notes 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Notices of the American Mathematical Society 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 Groups, Geometry, and Dynamics 1 Journal of Topology 1 Springer Proceedings in Mathematics all top 5 Fields 85 Differential geometry (53-XX) 50 Manifolds and cell complexes (57-XX) 44 Global analysis, analysis on manifolds (58-XX) 19 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 Geometry (51-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 7 Partial differential equations (35-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 147 Publications have been cited 8,574 times in 6,384 Documents Cited by ▼ Year ▼ Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025Gromov, M. 654 1985 Groups of polynomial growth and expanding maps. Appendix by Jacques Tits. Zbl 0474.20018Gromov, Mikhael 584 1981 Hyperbolic groups. Zbl 0634.20015Gromov, M. 579 1987 Partial differential relations. Zbl 0651.53001Gromov, Mikhael 369 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 335 1993 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 308 1982 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 297 1999 Filling Riemannian manifolds. Zbl 0515.53037Gromov, Mikhael 294 1983 Carnot-Carathéodory spaces seen from within. Zbl 0864.53025Gromov, Mikhael 271 1996 Manifolds of nonpositive curvature. Zbl 0591.53001Ballmann, Werner; Gromov, Mikhael; Schroeder, Viktor 264 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 254 1986 Volume and bounded cohomology. Zbl 0516.53046Gromov, M. 239 1982 Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. Zbl 0538.53047Gromov, Mikhael; Lawson, H. Blaine jun. 205 1983 Random walk in random groups. Zbl 1122.20021Gromov, M. 170 2003 The classification of simply connected manifolds of positive scalar curvature. Zbl 0463.53025Gromov, Mikhael; Lawson, H. Blaine jun. 153 1980 Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024Gromov, Mikhail; Schoen, Richard 143 1992 A topological application of the isoperimetric inequality. Zbl 0522.53039Gromov, Mikhael; Milman, V. D. 136 1983 Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001Gromov, M. 123 1999 Isoperimetry of waists and concentration of maps. Zbl 1044.46057Gromov, M. 121 2003 Metric structures for Riemannian manifolds. (Structures métriques pour les variétés riemanniennes. Rédigé par J. Lafontaine et P. Pansu.) Zbl 0509.53034Gromov, M. 119 1981 Curvature, diameter and Betti numbers. Zbl 0467.53021Gromov, Michael 112 1981 Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322Gromov, Misha 105 1999 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028Cheeger, Jeff; Gromov, Mikhael 98 1986 Kähler hyperbolicity and \(L_ 2\)-Hodge theory. Zbl 0719.53042Gromov, M. 97 1991 Spin and scalar curvature in the presence of a fundamental group. I. Zbl 0445.53025Gromov, Mikhael; Lawson, H. Blaine jun. 94 1980 Almost flat manifolds. Zbl 0432.53020Gromov, M. 91 1978 On the entropy of holomorphic maps. Zbl 1080.37051Gromov, Mikhaïl 91 2003 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020Cheeger, Jeff; Gromov, Mikhael 84 1986 Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012Gromov, M. 77 1989 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 77 2007 Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034Cheeger, Jeff; Gromov, Mikhael 74 1985 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 72 1992 Convex symplectic manifolds. Zbl 0742.53010Eliashberg, Yakov; Gromov, Mikhael 72 1991 Metric invariants of Kähler manifolds. Zbl 0888.53047Gromov, M. 72 1993 Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039Gromov, Mikhail 69 2010 A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018Burago, Yu.; Gromov, M.; Perel’man, G. 62 1992 Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001Eells, J.; Fuglede, B. 60 2001 Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007Gromov, M.; Piatetski-Shapiro, Ilya I. 58 1988 Pinching constants for hyperbolic manifolds. Zbl 0646.53037Gromov, Mikhael; Thurston, William P. 57 1987 Homotopical effects of dilatation. Zbl 0427.58010Gromov, Mikhael 56 1978 Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007Gromov, M.; Milman, V. D. 54 1987 Manifolds of negative curvature. Zbl 0433.53028Gromov, M. 54 1978 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043Cheeger, Jeff; Gromov, Mikhael 54 1990 Spaces and questions. Special volume of the journal Geometric and Functional Analysis. Zbl 1006.53035Gromov, Misha 53 2000 Convex sets and Kähler manifolds. Zbl 0770.53042Gromov, M. 45 1990 Sign and geometric meaning of curvature. Zbl 0820.53035Gromov, M. 45 1991 Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022Gromov, M. 40 1996 Hyperbolic manifolds, groups and actions. Zbl 0467.53035Gromov, M. 37 1981 Overlap properties of geometric expanders. Zbl 1306.05171Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 37 2012 Convex integration of differential relations. I. Zbl 0281.58004Gromov, M. L. 37 1974 Von Neumann spectra near zero. Zbl 0751.58039Gromov, M.; Shubin, M. A. 34 1991 On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036Cheeger, Jeff; Gromov, Mikhael 34 1985 Systoles and intersystolic inequalities. Zbl 0877.53002Gromov, Mikhael 32 1996 Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012Eliashberg, Yakov; Gromov, Mikhael 29 1992 Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041Gromov, M. 28 1987 Mesoscopic curvature and very small cancellation theory. (Courbure mésoscopique et théorie de la toute petite simplification.) Zbl 1197.20035Delzant, Thomas; Gromov, Misha 27 2008 Dirac and Plateau billiards in domains with corners. Zbl 1315.53027Gromov, Misha 27 2014 Embeddings and immersions in Riemannian geometry. Zbl 0222.53053Gromov, M. L.; Rokhlin, V. A. 27 1970 Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069Connes, A.; Gromov, M.; Moscovici, H. 24 1993 Rigidity of lattices: An introduction. Zbl 0786.22015Gromov, M.; Pansu, P. 23 1991 Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028Gromov, Mikhaïl 23 2000 Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010Gromov, Mikhail 23 2009 Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043Gromov, Misha 23 2008 Rigid transformations groups. Zbl 0652.53023Gromov, Michael 22 1988 Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011Gromov, M.; Henkin, G.; Shubin, M. 21 1998 Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017D’Ambra, G.; Gromov, M. 20 1991 Infinite groups as geometric objects. Zbl 0599.20041Gromov, Mikhael 20 1984 Metric inequalities with scalar curvature. Zbl 1396.53068Gromov, Misha 20 2018 On the ergodicity of frame flows. Zbl 0445.58023Brin, M.; Gromov, M. 20 1980 Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012Gromov, M.; Lawson, H. Blaine jun.; Thurston, W. 19 1988 Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri 18 1990 Stable mappings of foliations into manifolds. Zbl 0205.53502Gromov, M. L. 16 1971 Embeddings and immersions in Riemannian geometry. (Einbettungen und Immersionen in der Riemannschen Geometrie.) Zbl 0202.21004Gromov, M. L.; Rokhlin, V. A. 15 1970 Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015Eliashberg, Yasha; Gromov, Misha 15 1998 Hyperbolic manifolds according to Thurston and Jorgensen. Zbl 0452.51017Gromov, Michael 14 1981 Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049Gromov, Michel 14 1989 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 Large Riemannian manifolds. Zbl 0601.53038Gromov, M. 12 1986 Isometric imbeddings and immersions. Zbl 0214.50404Gromov, M. L. 12 1970 Quantitative homotopy theory. Zbl 0927.57022Gromov, Mikhael 12 1999 Foliated Plateau problem. I: Minimal varieties. Zbl 0768.53011Gromov, Mikhael 11 1991 Cuts in Kähler groups. Zbl 1116.32016Delzant, Thomas; Gromov, Misha 11 2005 Konvexe Integration von Differentialrelationen. I. Zbl 0254.58001Gromov, M. L. 10 1973 Plateau-Stein manifolds. Zbl 1293.31006Gromov, Misha 9 2014 \(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029Gromov, M. 9 2001 Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041Gromov, Misha; Guth, Larry 9 2012 A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052Gromov, Misha 9 2018 Spectral geometry of semi-algebraic sets. Zbl 0759.58048Gromov, Mikhael 8 1992 Stabile Abbildungen von Blätterungen in Mannigfaltigkeiten. Zbl 0197.20404Gromov, M. L. 8 1969 Brunn theorem and a concentration of volume phenomena for symmetric convex bodies. Zbl 0953.52500Gromov, M.; Milman, V. D. 8 1984 Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003Gromov, Misha 7 2017 Width and related invariants of Riemannian manifolds. Zbl 0684.53036Gromov, M. 7 1988 Dynamical Morse entropy. Zbl 1155.37006Bertelson, Mélanie; Gromov, Misha 7 2004 A topological technique for the construction of solutions of differential equations and inequalities. Zbl 0237.57019Gromov, M. L. 7 1971 Removal of singularities of smooth mappings. Zbl 0249.58005Gromov, M. L.; Èliashberg, Ya. M. 7 1972 Über eine geometrische Hypothese von Banach. Zbl 0162.44402Gromov, M. L. 6 1967 On simplexes inscribed in a hypersurface. Zbl 0181.25103Gromov, M. L. 6 1969 Soft and hard symplectic geometry. Zbl 0664.53016Gromov, M. 6 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 2 2020 Mean curvature in the light of scalar curvature. (Courbure moyenne à la lumière de la courbure scalaire.) Zbl 1467.53041Gromov, Misha 2 2019 Metric inequalities with scalar curvature. Zbl 1396.53068Gromov, Misha 20 2018 A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052Gromov, Misha 9 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 7 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 27 2014 Plateau-Stein manifolds. Zbl 1293.31006Gromov, Misha 9 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 4 2013 Overlap properties of geometric expanders. Zbl 1306.05171Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 37 2012 Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041Gromov, Misha; Guth, Larry 9 2012 Hilbert volume in metric spaces. I. Zbl 1243.53077Gromov, Misha 2 2012 Super stable Kählerian horseshoe? Zbl 1319.32025Gromov, M. 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 69 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 23 2009 Mesoscopic curvature and very small cancellation theory. (Courbure mésoscopique et théorie de la toute petite simplification.) Zbl 1197.20035Delzant, Thomas; Gromov, Misha 27 2008 Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043Gromov, Misha 23 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 77 2007 Cuts in Kähler groups. Zbl 1116.32016Delzant, Thomas; Gromov, Misha 11 2005 Dynamical Morse entropy. Zbl 1155.37006Bertelson, Mélanie; Gromov, Misha 7 2004 Random walk in random groups. Zbl 1122.20021Gromov, M. 170 2003 Isoperimetry of waists and concentration of maps. Zbl 1044.46057Gromov, M. 121 2003 On the entropy of holomorphic maps. Zbl 1080.37051Gromov, Mikhaïl 91 2003 Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001Eells, J.; Fuglede, B. 60 2001 \(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029Gromov, M. 9 2001 Mathematical slices of molecular biology. Zbl 0991.92503Carbone, Alessandra; Gromov, Misha 5 2001 Mesoscopic curvature and hyperbolicity. Zbl 1006.53036Gromov, Misha 4 2001 Possible trends in mathematics in the coming decades. Zbl 1041.01503Gromov, Mikhael 1 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 Spaces and questions. Special volume of the journal Geometric and Functional Analysis. Zbl 1006.53035Gromov, Misha 53 2000 Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028Gromov, Mikhaïl 23 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 1 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 297 1999 Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001Gromov, M. 123 1999 Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322Gromov, Misha 105 1999 Quantitative homotopy theory. Zbl 0927.57022Gromov, Mikhael 12 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 15 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 271 1996 Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022Gromov, M. 40 1996 Systoles and intersystolic inequalities. Zbl 0877.53002Gromov, Mikhael 32 1996 Geometric reflections on the Novikov conjecture. Zbl 0966.53028Gromov, Mikhael 4 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 335 1993 Metric invariants of Kähler manifolds. Zbl 0888.53047Gromov, M. 72 1993 Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069Connes, A.; Gromov, M.; Moscovici, H. 24 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 143 1992 Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael 72 1992 A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018Burago, Yu.; Gromov, M.; Perel’man, G. 62 1992 Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012Eliashberg, Yakov; Gromov, Mikhael 29 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. 97 1991 Convex symplectic manifolds. Zbl 0742.53010Eliashberg, Yakov; Gromov, Mikhael 72 1991 Sign and geometric meaning of curvature. Zbl 0820.53035Gromov, M. 45 1991 Von Neumann spectra near zero. Zbl 0751.58039Gromov, M.; Shubin, M. A. 34 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. 20 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 11 1991 Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043Cheeger, Jeff; Gromov, Mikhael 54 1990 Convex sets and Kähler manifolds. Zbl 0770.53042Gromov, M. 45 1990 Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri 18 1990 Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012Gromov, M. 77 1989 Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049Gromov, Michel 14 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. 58 1988 Rigid transformations groups. Zbl 0652.53023Gromov, Michael 22 1988 Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012Gromov, M.; Lawson, H. Blaine jun.; Thurston, W. 19 1988 Width and related invariants of Riemannian manifolds. Zbl 0684.53036Gromov, M. 7 1988 Dimension, nonlinear spectra and width. Zbl 0664.41019Gromov, M. 5 1988 Hyperbolic groups. Zbl 0634.20015Gromov, M. 579 1987 Pinching constants for hyperbolic manifolds. Zbl 0646.53037Gromov, Mikhael; Thurston, William P. 57 1987 Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007Gromov, M.; Milman, V. D. 54 1987 Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041Gromov, M. 28 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 Partial differential relations. Zbl 0651.53001Gromov, Mikhael 369 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 254 1986 Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028Cheeger, Jeff; Gromov, Mikhael 98 1986 \(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020Cheeger, Jeff; Gromov, Mikhael 84 1986 Large Riemannian manifolds. Zbl 0601.53038Gromov, M. 12 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. 654 1985 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,074 Authors 37 Forstnerič, Franc 31 Ceccherini-Silberstein, Tullio G. 28 Gromov, Mikhael Leonidovich 25 Dranishnikov, Alexander Nikolaevich 25 Katz, Mikhail G. 25 Tsukamoto, Masaki 24 Schröder, Viktor M. H. 24 Yu, Guoliang 23 Coornaert, Michel 22 Eliashberg, Yakov Matveevich 22 Hofer, Helmut H. W. 22 Myasnikov, Alexei G. 21 Naor, Assaf 20 Lubotzky, Alexander 19 de Lima, Henrique F. 19 Kleiner, Bruce 19 Rong, Xiaochun 19 Sukhov, Alexandre B. 19 Tessera, Romain 18 Lott, John 18 McDuff, Dusa 18 Weinberger, Shmuel 17 Monod, Nicolas 17 Schick, Thomas 16 Bartholdi, Laurent 16 Calegari, Danny Matthew Cornelius 16 Kutzschebauch, Frank 16 Löh, Clara 16 Mathai, Varghese 16 Mj, Mahan 16 Osin, Denis V. 16 Saloff-Coste, Laurent 15 Erschler, Anna 15 Polterovich, Leonid Viktorovich 15 Sormani, Christina 15 Tien Cuong Dinh 14 Bridson, Martin R. 14 Dahmani, François 14 Elek, Gábor 14 Klartag, Bo’az 14 Latrémolière, Frédéric 14 Le Donne, Enrico 14 Magnani, Valentino 14 Milman, Emanuel 14 Sabourau, Stéphane 13 Anderson, Michael T. 13 Cieliebak, Kai 13 de Gosson, Maurice Alexis 13 Farrell, F. Thomas 13 Franchi, Bruno 13 Kapovich, Michael 13 Lafont, Jean-François 13 Mese, Chikako 13 Ol’shanskiĭ, Aleksandr Yur’evich 13 Pansu, Pierre 13 Rosales, César 13 Sapir, Mark Valentinovich 13 Shioya, Takashi 13 Thom, Andreas Berthold 12 Balogh, Zoltán M. 12 Besson, Gérard 12 Botvinnik, Boris I. 12 Bowditch, Brian H. 12 de Cornulier, Yves 12 Fujiwara, Koji 12 Grove, Karsten 12 Ivanov, Sergei Vladimirovich 12 Lárusson, Finnur 12 Milman, Vitali D. 12 Nabutovsky, Alexander 12 Pestov, Vladimir G. 12 Pittet, Christophe 12 Prástaro, Agostino 12 Ritoré, Manuel 12 Rodríguez García, José Manuel 12 Rotman, Regina 12 Sauer, Roman 12 Sibony, Nessim 12 Sisto, Alessandro 12 Tian, Gang 12 Wei, Guofang 11 Belegradek, Igor 11 Brudnyi, Alexander 11 Cheeger, Jeff 11 Coulon, Rémi 11 Frauenfelder, Urs Adrian 11 Funano, Kei 11 Gaussier, Hervé 11 Guentner, Erik Paul 11 Guth, Lawrence David 11 Gutman, Yonatan 11 Hind, Richard K. 11 Kaliman, Shulim I. 11 Karmanova, Maria B. 11 Kim, Inkang 11 Li, Hanfeng 11 Loi, Andrea 11 Lück, Wolfgang 11 Papasoglu, Panos 11 Petersen, Peter V ...and 4,974 more Authors all top 5 Cited in 477 Serials 256 Transactions of the American Mathematical Society 231 Proceedings of the American Mathematical Society 174 Inventiones Mathematicae 174 Mathematische Annalen 172 Advances in Mathematics 170 Geometriae Dedicata 166 Geometry & Topology 153 Duke Mathematical Journal 153 The Journal of Geometric Analysis 150 Geometric and Functional Analysis. 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Symmetry, Integrability and Geometry: Methods and Applications 17 Bulletin of the London Mathematical Society 17 Functional Analysis and its Applications 17 Chinese Annals of Mathematics. Series B 17 Science China. Mathematics 16 Arkiv för Matematik 16 Journal of the Mathematical Society of Japan 16 Monatshefte für Mathematik 16 Nagoya Mathematical Journal 16 Discrete and Continuous Dynamical Systems 16 Frontiers of Mathematics in China 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Proceedings of the Steklov Institute of Mathematics 14 Illinois Journal of Mathematics 14 Proceedings of the Japan Academy. Series A 14 Selecta Mathematica. New Series 13 Michigan Mathematical Journal 13 Advances in Applied Mathematics 13 Transformation Groups 13 Annales Henri Poincaré 12 Results in Mathematics 12 Journal of Modern Dynamics 11 Communications on Pure and Applied Mathematics 11 Bulletin de la Société Mathématique de France 11 Theoretical Computer Science 11 European Journal of Combinatorics ...and 377 more Serials all top 5 Cited in 62 Fields 2,761 Differential geometry (53-XX) 1,340 Manifolds and cell complexes (57-XX) 1,114 Group theory and generalizations (20-XX) 982 Global analysis, analysis on manifolds (58-XX) 702 Dynamical systems and ergodic theory (37-XX) 633 Several complex variables and analytic spaces (32-XX) 468 Topological groups, Lie groups (22-XX) 462 Functional analysis (46-XX) 379 Partial differential equations (35-XX) 377 Combinatorics (05-XX) 315 Algebraic topology (55-XX) 302 Algebraic geometry (14-XX) 284 Probability theory and stochastic processes (60-XX) 259 General topology (54-XX) 241 Convex and discrete geometry (52-XX) 221 Functions of a complex variable (30-XX) 217 Abstract harmonic analysis (43-XX) 193 Calculus of variations and optimal control; optimization (49-XX) 177 Geometry (51-XX) 166 Measure and integration (28-XX) 137 Operator theory (47-XX) 137 Computer science (68-XX) 125 \(K\)-theory (19-XX) 115 Quantum theory (81-XX) 87 Number theory (11-XX) 78 Mathematical logic and foundations (03-XX) 76 Associative rings and algebras (16-XX) 69 Real functions (26-XX) 66 Potential theory (31-XX) 64 Relativity and gravitational theory (83-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 49 Statistical mechanics, structure of matter (82-XX) 45 Category theory; homological algebra (18-XX) 39 Mechanics of particles and systems (70-XX) 36 Nonassociative rings and algebras (17-XX) 35 Ordinary differential equations (34-XX) 35 Biology and other natural sciences (92-XX) 32 Information and communication theory, circuits (94-XX) 29 Numerical analysis (65-XX) 29 Fluid mechanics (76-XX) 29 Systems theory; control (93-XX) 27 History and biography (01-XX) 27 Operations research, mathematical programming (90-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 24 General and overarching topics; collections (00-XX) 24 Statistics (62-XX) 24 Mechanics of deformable solids (74-XX) 20 Commutative algebra (13-XX) 13 Approximations and expansions (41-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 10 Special functions (33-XX) 10 Difference and functional equations (39-XX) 8 Integral transforms, operational calculus (44-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Field theory and polynomials (12-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-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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