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Gromov, Mikhael Leonidovich

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Author ID: gromov.mikhael Recent zbMATH articles by "Gromov, Mikhael Leonidovich"
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
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)
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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

Publications by Year

Citations contained in zbMATH Open

147 Publications have been cited 8,813 times in 6,568 Documents Cited by Year
Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025
Gromov, M.
684
1985
Hyperbolic groups. Zbl 0634.20015
Gromov, M.
604
1987
Groups of polynomial growth and expanding maps. Appendix by Jacques Tits. Zbl 0474.20018
Gromov, Mikhael
594
1981
Partial differential relations. Zbl 0651.53001
Gromov, Mikhael
381
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 0841.20039
Gromov, Mikhael
342
1993
Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Zbl 0493.53035
Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael
316
1982
Filling Riemannian manifolds. Zbl 0515.53037
Gromov, Mikhael
305
1983
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 0953.53002
Gromov, Misha
303
1999
Carnot-Carathéodory spaces seen from within. Zbl 0864.53025
Gromov, Mikhael
278
1996
Manifolds of nonpositive curvature. Zbl 0591.53001
Ballmann, Werner; Gromov, Mikhael; Schroeder, Viktor
268
1985
Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013
Milman, Vitali D.; Schechtman, Gideon
258
1986
Volume and bounded cohomology. Zbl 0516.53046
Gromov, M.
246
1982
Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. Zbl 0538.53047
Gromov, Mikhael; Lawson, H. Blaine jun.
218
1983
Random walk in random groups. Zbl 1122.20021
Gromov, M.
173
2003
The classification of simply connected manifolds of positive scalar curvature. Zbl 0463.53025
Gromov, Mikhael; Lawson, H. Blaine jun.
161
1980
Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
148
1992
A topological application of the isoperimetric inequality. Zbl 0522.53039
Gromov, Mikhael; Milman, V. D.
139
1983
Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001
Gromov, M.
124
1999
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
122
2003
Metric structures for Riemannian manifolds. (Structures métriques pour les variétés riemanniennes. Rédigé par J. Lafontaine et P. Pansu.) Zbl 0509.53034
Gromov, M.
121
1981
Curvature, diameter and Betti numbers. Zbl 0467.53021
Gromov, Michael
114
1981
Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322
Gromov, Misha
113
1999
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
99
1986
Kähler hyperbolicity and \(L_ 2\)-Hodge theory. Zbl 0719.53042
Gromov, M.
98
1991
Spin and scalar curvature in the presence of a fundamental group. I. Zbl 0445.53025
Gromov, Mikhael; Lawson, H. Blaine jun.
96
1980
On the entropy of holomorphic maps. Zbl 1080.37051
Gromov, Mikhaïl
92
2003
Almost flat manifolds. Zbl 0432.53020
Gromov, M.
92
1978
\(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
85
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. 3rd printing. Zbl 1113.53001
Gromov, Misha
81
2007
Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012
Gromov, M.
80
1989
Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034
Cheeger, Jeff; Gromov, Mikhael
77
1985
Convex symplectic manifolds. Zbl 0742.53010
Eliashberg, Yakov; Gromov, Mikhael
73
1991
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
73
1992
Metric invariants of Kähler manifolds. Zbl 0888.53047
Gromov, M.
72
1993
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039
Gromov, Mikhail
72
2010
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
63
1992
Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001
Eells, J.; Fuglede, B.
62
2001
Pinching constants for hyperbolic manifolds. Zbl 0646.53037
Gromov, Mikhael; Thurston, William P.
58
1987
Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007
Gromov, M.; Piatetski-Shapiro, Ilya I.
58
1988
Homotopical effects of dilatation. Zbl 0427.58010
Gromov, Mikhael
58
1978
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007
Gromov, M.; Milman, V. D.
56
1987
Manifolds of negative curvature. Zbl 0433.53028
Gromov, M.
56
1978
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
54
1990
Spaces and questions. Special volume of the journal Geometric and Functional Analysis. Zbl 1006.53035
Gromov, Misha
54
2000
Convex sets and Kähler manifolds. Zbl 0770.53042
Gromov, M.
47
1990
Sign and geometric meaning of curvature. Zbl 0820.53035
Gromov, M.
45
1991
Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022
Gromov, M.
44
1996
Overlap properties of geometric expanders. Zbl 1306.05171
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
40
2012
Convex integration of differential relations. I. Zbl 0281.58004
Gromov, M. L.
38
1974
Hyperbolic manifolds, groups and actions. Zbl 0467.53035
Gromov, M.
37
1981
Von Neumann spectra near zero. Zbl 0751.58039
Gromov, M.; Shubin, M. A.
34
1991
On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036
Cheeger, Jeff; Gromov, Mikhael
34
1985
Systoles and intersystolic inequalities. Zbl 0877.53002
Gromov, Mikhael
32
1996
Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012
Eliashberg, Yakov; Gromov, Mikhael
30
1992
Dirac and Plateau billiards in domains with corners. Zbl 1315.53027
Gromov, Misha
29
2014
Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041
Gromov, M.
28
1987
Embeddings and immersions in Riemannian geometry. Zbl 0222.53053
Gromov, M. L.; Rokhlin, V. A.
28
1970
Mesoscopic curvature and very small cancellation theory. (Courbure mésoscopique et théorie de la toute petite simplification.) Zbl 1197.20035
Delzant, Thomas; Gromov, Misha
27
2008
Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069
Connes, A.; Gromov, M.; Moscovici, H.
24
1993
Rigidity of lattices: An introduction. Zbl 0786.22015
Gromov, M.; Pansu, P.
23
1991
Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028
Gromov, Mikhaïl
23
2000
Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043
Gromov, Misha
23
2008
Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010
Gromov, Mikhail
23
2009
Rigid transformations groups. Zbl 0652.53023
Gromov, Michael
22
1988
Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017
D’Ambra, G.; Gromov, M.
21
1991
Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011
Gromov, M.; Henkin, G.; Shubin, M.
21
1998
On the ergodicity of frame flows. Zbl 0445.58023
Brin, M.; Gromov, M.
21
1980
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
21
2018
Infinite groups as geometric objects. Zbl 0599.20041
Gromov, Mikhael
20
1984
Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012
Gromov, M.; Lawson, H. Blaine jun.; Thurston, W.
19
1988
Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007
Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri
19
1990
Stable mappings of foliations into manifolds. Zbl 0205.53502
Gromov, M. L.
16
1971
Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015
Eliashberg, Yasha; Gromov, Misha
15
1998
Embeddings and immersions in Riemannian geometry. (Einbettungen und Immersionen in der Riemannschen Geometrie.) Zbl 0202.21004
Gromov, M. L.; Rokhlin, V. A.
15
1970
Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049
Gromov, Michel
14
1989
Quantitative homotopy theory. Zbl 0927.57022
Gromov, Mikhael
14
1999
Hyperbolic manifolds according to Thurston and Jorgensen. Zbl 0452.51017
Gromov, Michael
14
1981
Large Riemannian manifolds. Zbl 0601.53038
Gromov, M.
13
1986
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
13
1991
Isometric imbeddings and immersions. Zbl 0214.50404
Gromov, M. L.
12
1970
Foliated Plateau problem. II: Harmonic maps of foliations. Zbl 0768.53012
Gromov, M.
12
1991
Foliated Plateau problem. I: Minimal varieties. Zbl 0768.53011
Gromov, Mikhael
11
1991
Cuts in Kähler groups. Zbl 1116.32016
Delzant, Thomas; Gromov, Misha
11
2005
Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041
Gromov, Misha; Guth, Larry
10
2012
Konvexe Integration von Differentialrelationen. I. Zbl 0254.58001
Gromov, M. L.
10
1973
A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052
Gromov, Misha
10
2018
Plateau-Stein manifolds. Zbl 1293.31006
Gromov, Misha
9
2014
\(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029
Gromov, M.
9
2001
Brunn theorem and a concentration of volume phenomena for symmetric convex bodies. Zbl 0953.52500
Gromov, M.; Milman, V. D.
8
1984
Spectral geometry of semi-algebraic sets. Zbl 0759.58048
Gromov, Mikhael
8
1992
Dynamical Morse entropy. Zbl 1155.37006
Bertelson, Mélanie; Gromov, Misha
8
2004
Stabile Abbildungen von Blätterungen in Mannigfaltigkeiten. Zbl 0197.20404
Gromov, M. L.
8
1969
Infinite groups as geometric objects. Zbl 0586.20016
Gromov, Mikhael
7
1984
A topological technique for the construction of solutions of differential equations and inequalities. Zbl 0237.57019
Gromov, M. L.
7
1971
Removal of singularities of smooth mappings. Zbl 0249.58005
Gromov, M. L.; Èliashberg, Ya. M.
7
1972
Width and related invariants of Riemannian manifolds. Zbl 0684.53036
Gromov, M.
7
1988
Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003
Gromov, Misha
7
2017
Soft and hard symplectic geometry. Zbl 0664.53016
Gromov, M.
6
1987
Über eine geometrische Hypothese von Banach. Zbl 0162.44402
Gromov, M. L.
6
1967
On simplexes inscribed in a hypersurface. Zbl 0181.25103
Gromov, M. L.
6
1969
Morse spectra, homology measures, spaces of cycles and parametric packing problems. Zbl 1456.53035
Gromov, Misha
2
2020
Mean curvature in the light of scalar curvature. (Courbure moyenne à la lumière de la courbure scalaire.) Zbl 1467.53041
Gromov, Misha
2
2019
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
21
2018
A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052
Gromov, Misha
10
2018
Great circle of mysteries. Mathematics, the world, the mind. Zbl 1433.00004
Gromov, Misha
2
2018
Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003
Gromov, Misha
7
2017
Marcel Berger remembered. Zbl 1377.01033
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 1329.05206
Gromov, M. L.
3
2015
Dirac and Plateau billiards in domains with corners. Zbl 1315.53027
Gromov, Misha
29
2014
Plateau-Stein manifolds. Zbl 1293.31006
Gromov, Misha
9
2014
Manifolds: Where do we come from? What are we? Where are we going? Zbl 1304.57006
Gromov, Mikhail
4
2014
In a search for a structure. I: On entropy. Zbl 1364.82009
Gromov, Misha
4
2013
Overlap properties of geometric expanders. Zbl 1306.05171
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
40
2012
Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041
Gromov, Misha; Guth, Larry
10
2012
Hilbert volume in metric spaces. I. Zbl 1243.53077
Gromov, Misha
2
2012
Super stable Kählerian horseshoe? Zbl 1319.32025
Gromov, M.
2
2012
Crystals, proteins, stability and isoperimetry. Zbl 1211.92019
Gromov, Misha
3
2011
Overlap properties of geometric expanders (extended abstract). Zbl 1376.05101
Fox, 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 1251.05039
Gromov, Mikhail
72
2010
Interview with Mikhail Gromov. Zbl 1191.01052
Raussen, 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 1195.58010
Gromov, Mikhail
23
2009
Mesoscopic curvature and very small cancellation theory. (Courbure mésoscopique et théorie de la toute petite simplification.) Zbl 1197.20035
Delzant, Thomas; Gromov, Misha
27
2008
Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043
Gromov, Misha
23
2008
Mendelian dynamics and Sturtevant’s paradigm. Zbl 1207.92036
Gromov, 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 1113.53001
Gromov, Misha
81
2007
Cuts in Kähler groups. Zbl 1116.32016
Delzant, Thomas; Gromov, Misha
11
2005
Dynamical Morse entropy. Zbl 1155.37006
Bertelson, Mélanie; Gromov, Misha
8
2004
Random walk in random groups. Zbl 1122.20021
Gromov, M.
173
2003
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
122
2003
On the entropy of holomorphic maps. Zbl 1080.37051
Gromov, Mikhaïl
92
2003
Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001
Eells, J.; Fuglede, B.
62
2001
\(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029
Gromov, M.
9
2001
Mathematical slices of molecular biology. Zbl 0991.92503
Carbone, Alessandra; Gromov, Misha
5
2001
Mesoscopic curvature and hyperbolicity. Zbl 1006.53036
Gromov, Misha
4
2001
Possible trends in mathematics in the coming decades. Zbl 1041.01503
Gromov, Mikhael
1
2001
Where does geometry go? A research and education perspective. Zbl 1005.53002
Bourguignon, 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 1006.53035
Gromov, Misha
54
2000
Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028
Gromov, 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 0953.53002
Gromov, Misha
303
1999
Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001
Gromov, M.
124
1999
Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322
Gromov, Misha
113
1999
Quantitative homotopy theory. Zbl 0927.57022
Gromov, Mikhael
14
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 0995.53025
Gromov, M.
2
1999
Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011
Gromov, M.; Henkin, G.; Shubin, M.
21
1998
Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015
Eliashberg, Yasha; Gromov, Misha
15
1998
Lagrangian intersections and the stable Morse theory. Zbl 0964.58009
Eliashberg, Yasha; Gromov, Misha
3
1997
Carnot-Carathéodory spaces seen from within. Zbl 0864.53025
Gromov, Mikhael
278
1996
Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022
Gromov, M.
44
1996
Systoles and intersystolic inequalities. Zbl 0877.53002
Gromov, Mikhael
32
1996
Geometric reflections on the Novikov conjecture. Zbl 0966.53028
Gromov, Mikhael
5
1995
The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets. Zbl 0822.58046
Gromov, 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 0841.20039
Gromov, Mikhael
342
1993
Metric invariants of Kähler manifolds. Zbl 0888.53047
Gromov, M.
72
1993
Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069
Connes, A.; Gromov, M.; Moscovici, H.
24
1993
The Riemann-Roch theorem for elliptic operators. Zbl 0802.58051
Gromov, 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 0826.58033
Gromov, Mikhael; Shubin, Mikhail A.
2
1993
Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
148
1992
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
73
1992
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
63
1992
Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012
Eliashberg, Yakov; Gromov, Mikhael
30
1992
Spectral geometry of semi-algebraic sets. Zbl 0759.58048
Gromov, Mikhael
8
1992
Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds. Zbl 0797.57016
Gromov, M.; Shubin, M. A.
4
1992
Stability and pinching. Zbl 0780.53028
Gromov, Mikhael
1
1992
The Riemann-Roch theorem for general elliptic operators. Zbl 0758.58030
Gromov, Mikhaël; Shubin, Mikhail A.
1
1992
Kähler hyperbolicity and \(L_ 2\)-Hodge theory. Zbl 0719.53042
Gromov, M.
98
1991
Convex symplectic manifolds. Zbl 0742.53010
Eliashberg, Yakov; Gromov, Mikhael
73
1991
Sign and geometric meaning of curvature. Zbl 0820.53035
Gromov, M.
45
1991
Von Neumann spectra near zero. Zbl 0751.58039
Gromov, M.; Shubin, M. A.
34
1991
Rigidity of lattices: An introduction. Zbl 0786.22015
Gromov, M.; Pansu, P.
23
1991
Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017
D’Ambra, G.; Gromov, M.
21
1991
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
13
1991
Foliated Plateau problem. II: Harmonic maps of foliations. Zbl 0768.53012
Gromov, M.
12
1991
Foliated Plateau problem. I: Minimal varieties. Zbl 0768.53011
Gromov, Mikhael
11
1991
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
54
1990
Convex sets and Kähler manifolds. Zbl 0770.53042
Gromov, M.
47
1990
Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007
Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri
19
1990
Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012
Gromov, M.
80
1989
Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049
Gromov, Michel
14
1989
Estimates of Bernstein widths of Sobolev spaces. Zbl 0683.46024
Bourgain, J.; Gromov, M.
3
1989
Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007
Gromov, M.; Piatetski-Shapiro, Ilya I.
58
1988
Rigid transformations groups. Zbl 0652.53023
Gromov, Michael
22
1988
Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012
Gromov, M.; Lawson, H. Blaine jun.; Thurston, W.
19
1988
Width and related invariants of Riemannian manifolds. Zbl 0684.53036
Gromov, M.
7
1988
Dimension, nonlinear spectra and width. Zbl 0664.41019
Gromov, M.
5
1988
Hyperbolic groups. Zbl 0634.20015
Gromov, M.
604
1987
Pinching constants for hyperbolic manifolds. Zbl 0646.53037
Gromov, Mikhael; Thurston, William P.
58
1987
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007
Gromov, M.; Milman, V. D.
56
1987
Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041
Gromov, M.
28
1987
Soft and hard symplectic geometry. Zbl 0664.53016
Gromov, M.
6
1987
Monotonicity of the volume of intersection of balls. Zbl 0628.46006
Gromov, M.
5
1987
Partial differential relations. Zbl 0651.53001
Gromov, Mikhael
381
1986
Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013
Milman, Vitali D.; Schechtman, Gideon
258
1986
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
99
1986
\(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
85
1986
Large Riemannian manifolds. Zbl 0601.53038
Gromov, M.
13
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 0917.53012
Gromov, Mikhael
2
1986
Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025
Gromov, M.
684
1985
...and 47 more Documents
all top 5

Cited by 5,240 Authors

38 Forstnerič, Franc
31 Ceccherini-Silberstein, Tullio G.
28 Gromov, Mikhael Leonidovich
26 Dranishnikov, Alexander Nikolaevich
25 Katz, Mikhail G.
25 Tsukamoto, Masaki
24 Schröder, Viktor M. H.
24 Yu, Guoliang
23 Coornaert, Michel
23 Eliashberg, Yakov Matveevich
23 Myasnikov, Alexei G.
22 Hofer, Helmut H. W.
21 Naor, Assaf
20 Lubotzky, Alexander
19 de Lima, Henrique F.
19 Kleiner, Bruce
19 Lott, John
19 Rong, Xiaochun
19 Sukhov, Alexandre B.
19 Tessera, Romain
18 Kutzschebauch, Frank
18 Löh, Clara
18 McDuff, Dusa
18 Weinberger, Shmuel
17 Mathai, Varghese
17 Monod, Nicolas
17 Schick, Thomas
16 Bartholdi, Laurent
16 Calegari, Danny Matthew Cornelius
16 Mj, Mahan
16 Osin, Denis V.
16 Saloff-Coste, Laurent
15 Erschler, Anna
15 Le Donne, Enrico
15 Polterovich, Leonid Viktorovich
15 Sabourau, Stéphane
15 Sormani, Christina
15 Tien Cuong Dinh
14 Bridson, Martin R.
14 Dahmani, François
14 de Gosson, Maurice Alexis
14 Elek, Gábor
14 Klartag, Bo’az
14 Latrémolière, Frédéric
14 Magnani, Valentino
14 Milman, Emanuel
14 Ol’shanskiĭ, Aleksandr Yur’evich
13 Anderson, Michael T.
13 Besson, Gérard
13 Cieliebak, Kai
13 Farrell, F. Thomas
13 Franchi, Bruno
13 Kapovich, Michael
13 Lafont, Jean-François
13 Lárusson, Finnur
13 Mese, Chikako
13 Pansu, Pierre
13 Rosales, César
13 Sapir, Mark Valentinovich
13 Shioya, Takashi
13 Thom, Andreas Berthold
12 Balogh, Zoltán M.
12 Belegradek, Igor
12 Botvinnik, Boris I.
12 Bowditch, Brian H.
12 de Cornulier, Yves
12 Fujiwara, Koji
12 Grove, Karsten
12 Ivanov, Sergei Vladimirovich
12 Kim, Inkang
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
12 Wise, Daniel T.
11 Brudnyi, Alexander
11 Bucher, Michelle
11 Cheeger, Jeff
11 Chepoi, Victor D.
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 Li, Hanfeng
11 Loi, Andrea
...and 5,140 more Authors
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Cited in 484 Serials

259 Transactions of the American Mathematical Society
236 Proceedings of the American Mathematical Society
179 Advances in Mathematics
179 Geometriae Dedicata
178 Inventiones Mathematicae
178 Mathematische Annalen
166 Geometry & Topology
157 The Journal of Geometric Analysis
155 Duke Mathematical Journal
151 Mathematische Zeitschrift
150 Geometric and Functional Analysis. GAFA
146 Journal of Functional Analysis
135 Annales de l’Institut Fourier
117 Algebraic & Geometric Topology
115 Israel Journal of Mathematics
101 Topology and its Applications
98 Differential Geometry and its Applications
87 Groups, Geometry, and Dynamics
83 Journal of Topology and Analysis
74 Journal of Algebra
73 Communications in Mathematical Physics
72 Annals of Global Analysis and Geometry
69 Bulletin of the American Mathematical Society. New Series
68 Ergodic Theory and Dynamical Systems
64 Calculus of Variations and Partial Differential Equations
58 Journal of the American Mathematical Society
57 Journal of Geometry and Physics
55 Journal of Mathematical Analysis and Applications
53 Comptes Rendus. Mathématique. Académie des Sciences, Paris
52 Journal für die Reine und Angewandte Mathematik
49 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
49 Annals of Mathematics. Second Series
46 International Journal of Mathematics
46 International Journal of Algebra and Computation
44 Compositio Mathematica
41 Manuscripta Mathematica
41 Journal of Mathematical Sciences (New York)
40 Communications in Contemporary Mathematics
39 Journal of the European Mathematical Society (JEMS)
38 Discrete & Computational Geometry
35 Siberian Mathematical Journal
34 Acta Mathematica
32 Publications Mathématiques
32 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
29 Revista Matemática Iberoamericana
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
26 Mathematical Proceedings of the Cambridge Philosophical Society
25 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Bulletin des Sciences Mathématiques
25 Journal of Fixed Point Theory and Applications
24 Mathematical Notes
24 St. Petersburg Mathematical Journal
24 Acta Mathematica Sinica. English Series
24 Analysis and Geometry in Metric Spaces
23 Journal of Pure and Applied Algebra
23 Tôhoku Mathematical Journal. Second Series
23 Journal of Topology
22 Archiv der Mathematik
22 Probability Theory and Related Fields
22 Journal de Mathématiques Pures et Appliquées. Neuvième Série
21 Journal d’Analyse Mathématique
21 The Annals of Probability
21 Memoirs of the American Mathematical Society
21 Expositiones Mathematicae
21 Journal of Dynamical and Control Systems
20 Commentarii Mathematici Helvetici
20 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
19 Journal of Mathematical Physics
19 Journal of Differential Equations
19 Journal of Group Theory
19 Journal of Noncommutative Geometry
19 Science China. Mathematics
18 Archive for Rational Mechanics and Analysis
18 Communications in Algebra
18 Discrete Mathematics
18 Functional Analysis and its Applications
18 Potential Analysis
17 Bulletin of the London Mathematical Society
17 Journal of the Mathematical Society of Japan
17 Nagoya Mathematical Journal
17 Chinese Annals of Mathematics. Series B
17 Discrete and Continuous Dynamical Systems
16 Arkiv för Matematik
16 Monatshefte für Mathematik
16 Frontiers of Mathematics in China
15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
15 Selecta Mathematica. New Series
15 Transformation Groups
15 Proceedings of the Steklov Institute of Mathematics
14 Illinois Journal of Mathematics
14 Michigan Mathematical Journal
14 Proceedings of the Japan Academy. Series A
13 Results in Mathematics
13 Advances in Applied Mathematics
13 Annales Henri Poincaré
13 Forum of Mathematics, Sigma
12 Journal of Modern Dynamics
11 Communications on Pure and Applied Mathematics
11 Letters in Mathematical Physics
11 Rocky Mountain Journal of Mathematics
...and 384 more Serials
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Cited in 62 Fields

2,849 Differential geometry (53-XX)
1,378 Manifolds and cell complexes (57-XX)
1,140 Group theory and generalizations (20-XX)
1,014 Global analysis, analysis on manifolds (58-XX)
728 Dynamical systems and ergodic theory (37-XX)
646 Several complex variables and analytic spaces (32-XX)
482 Topological groups, Lie groups (22-XX)
473 Functional analysis (46-XX)
397 Partial differential equations (35-XX)
386 Combinatorics (05-XX)
325 Algebraic topology (55-XX)
313 Algebraic geometry (14-XX)
286 Probability theory and stochastic processes (60-XX)
266 General topology (54-XX)
245 Convex and discrete geometry (52-XX)
225 Functions of a complex variable (30-XX)
219 Abstract harmonic analysis (43-XX)
197 Calculus of variations and optimal control; optimization (49-XX)
180 Geometry (51-XX)
171 Measure and integration (28-XX)
146 Computer science (68-XX)
138 Operator theory (47-XX)
128 \(K\)-theory (19-XX)
119 Quantum theory (81-XX)
91 Number theory (11-XX)
77 Mathematical logic and foundations (03-XX)
77 Associative rings and algebras (16-XX)
72 Real functions (26-XX)
69 Relativity and gravitational theory (83-XX)
66 Potential theory (31-XX)
56 Harmonic analysis on Euclidean spaces (42-XX)
50 Statistical mechanics, structure of matter (82-XX)
47 Category theory; homological algebra (18-XX)
42 Mechanics of particles and systems (70-XX)
38 Nonassociative rings and algebras (17-XX)
36 Biology and other natural sciences (92-XX)
35 Ordinary differential equations (34-XX)
33 Information and communication theory, circuits (94-XX)
29 Numerical analysis (65-XX)
29 Fluid mechanics (76-XX)
29 Systems theory; control (93-XX)
28 History and biography (01-XX)
27 Operations research, mathematical programming (90-XX)
25 General and overarching topics; collections (00-XX)
25 Linear and multilinear algebra; matrix theory (15-XX)
25 Mechanics of deformable solids (74-XX)
24 Statistics (62-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)
2 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)

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