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Gromov, Mikhael Leonidovich

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 L.; Gromov, Mikhail Leonidovich; 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)
all top 5

Co-Authors

104 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 Braverman, Maxim
4 Ivrii, Victor Ja.
4 Kordyukov, Yuri A.
4 Kuchment, Peter A.
4 Maz’ya, Vladimir Gilelevich
4 Pansu, Pierre
4 Sunada, Toshikazu
3 Bourguignon, Jean-Pierre
3 Carbone, Alessandra
3 Eells, James jun.
3 Friedlander, Leonid
3 Khovanskiĭ, Askold Georgievich
3 Lafontaine, Jacques
3 Novikov, Sergeĭ Petrovich
3 Raussen, Martin
3 Skau, Christian Fredrik
2 Bukhshtaber, Viktor Matveevich
2 Burago, Yuriĭ Dmitrievich
2 Calabi, Eugenio
2 Delzant, Thomas
2 Dikansky, Arnold
2 Donaldson, Simon Kirwan
2 Fox, Jacob
2 García-Prada, Oscar
2 Katz, Mikhail G.
2 Khenkin, Gennadiĭ Markovich
2 Lafforgue, Vincent
2 Moscovici, Henri
2 Naor, Assaf
2 Pach, János
2 Reshetnyak, Yuriĭ Grigor’evich
2 Rokhlin, Vladimir Abramovich
2 Semmes, Stephen W.
2 Sinaĭ, Yakov Grigor’evich
2 Thurston, William Paul
2 Tits, Jacques
2 Vershik, Anatoliĭ Moiseevich
2 Zvonkin, Alexander K.
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 Buchshtaber, B. M.
1 Burago, Dmitri
1 Capasso, Vincenzo
1 Carleson, Lennart
1 Chirka, Evgeniĭ Mikhaĭlovich
1 D’Ambra, Giuseppina
1 Deligne, Pierre
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 Hanke, Bernhard
1 Harel-Bellan, Annick
1 Hitchin, Nigel
1 Ibragimov, Il’dar Abdullovich
1 Il’yashenko, Yuliĭ 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
...and 44 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

Publications by Year

Citations contained in zbMATH Open

151 Publications have been cited 11,078 times in 8,361 Documents Cited by Year
Hyperbolic groups. Zbl 0634.20015
Gromov, M.
1987
Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025
Gromov, M.
775
1985
Groups of polynomial growth and expanding maps. Appendix by Jacques Tits. Zbl 0474.20018
Gromov, Mikhael
693
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. Zbl 0953.53002
Gromov, Misha
552
1999
Partial differential relations. Zbl 0651.53001
Gromov, Mikhael
468
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
380
1993
Filling Riemannian manifolds. Zbl 0515.53037
Gromov, Mikhael
350
1983
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
346
1982
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
337
1986
Carnot-Carathéodory spaces seen from within. Zbl 0864.53025
Gromov, Mikhael
336
1996
Manifolds of nonpositive curvature. Zbl 0591.53001
Ballmann, Werner; Gromov, Mikhael; Schroeder, Viktor
322
1985
Volume and bounded cohomology. Zbl 0516.53046
Gromov, M.
314
1982
Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. Zbl 0538.53047
Gromov, Mikhael; Lawson, H. Blaine jun.
268
1983
Metric structures for Riemannian manifolds. (Structures métriques pour les variétés riemanniennes. Rédigé par J. Lafontaine et P. Pansu.) Zbl 0509.53034
Gromov, M.
233
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 1113.53001
Gromov, Misha
211
2007
The classification of simply connected manifolds of positive scalar curvature. Zbl 0463.53025
Gromov, Mikhael; Lawson, H. Blaine jun.
190
1980
Random walk in random groups. Zbl 1122.20021
Gromov, M.
189
2003
Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
166
1992
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
159
2003
A topological application of the isoperimetric inequality. Zbl 0522.53039
Gromov, Mikhael; Milman, V. D.
151
1983
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
145
1992
Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001
Gromov, M.
144
1999
Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322
Gromov, Misha
138
1999
Spin and scalar curvature in the presence of a fundamental group. I. Zbl 0445.53025
Gromov, Mikhael; Lawson, H. Blaine jun.
129
1980
Curvature, diameter and Betti numbers. Zbl 0467.53021
Gromov, Michael
128
1981
Kähler hyperbolicity and \(L_ 2\)-Hodge theory. Zbl 0719.53042
Gromov, M.
122
1991
On the entropy of holomorphic maps. Zbl 1080.37051
Gromov, Mikhaïl
109
2003
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
108
1986
Almost flat manifolds. Zbl 0432.53020
Gromov, M.
103
1978
\(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
97
1986
Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012
Gromov, M.
97
1989
Convex symplectic manifolds. Zbl 0742.53010
Eliashberg, Yakov; Gromov, Mikhael
92
1991
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
87
1985
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
84
1992
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039
Gromov, Mikhail
84
2010
Metric invariants of Kähler manifolds. Zbl 0888.53047
Gromov, M.
77
1993
Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007
Gromov, M.; Piatetski-Shapiro, Ilya I.
75
1988
Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001
Eells, J.; Fuglede, B.
72
2001
Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022
Gromov, M.
67
1996
Homotopical effects of dilatation. Zbl 0427.58010
Gromov, Mikhael
64
1978
Pinching constants for hyperbolic manifolds. Zbl 0646.53037
Gromov, Mikhael; Thurston, William P.
62
1987
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007
Gromov, M.; Milman, V. D.
62
1987
Hyperbolic manifolds, groups and actions. Zbl 0467.53035
Gromov, M.
62
1981
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
61
1990
Manifolds of negative curvature. Zbl 0433.53028
Gromov, M.
60
1978
Spaces and questions. Special volume of the journal Geometric and Functional Analysis. Zbl 1006.53035
Gromov, Misha
59
2000
Convex sets and Kähler manifolds. Zbl 0770.53042
Gromov, M.
57
1990
Sign and geometric meaning of curvature. Zbl 0820.53035
Gromov, M.
54
1991
Systoles and intersystolic inequalities. Zbl 0877.53002
Gromov, Mikhael
50
1996
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
50
2018
Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041
Gromov, M.
47
1987
Dirac and Plateau billiards in domains with corners. Zbl 1315.53027
Gromov, Misha
46
2014
Rigid transformations groups. Zbl 0652.53023
Gromov, Michael
45
1988
On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036
Cheeger, Jeff; Gromov, Mikhael
43
1985
Convex integration of differential relations. I. Zbl 0281.58004
Gromov, M. L.
41
1974
Overlap properties of geometric expanders. Zbl 1306.05171
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
41
2012
Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017
D’Ambra, G.; Gromov, M.
40
1991
Von Neumann spectra near zero. Zbl 0751.58039
Gromov, M.; Shubin, M. A.
38
1991
Embeddings and immersions in Riemannian geometry. Zbl 0222.53053
Gromov, M. L.; Rokhlin, V. A.
37
1970
Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012
Eliashberg, Yakov; Gromov, Mikhael
35
1992
Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010
Gromov, Mikhail
33
2009
Dimension, nonlinear spectra and width. Zbl 0664.41019
Gromov, M.
32
1988
Mesoscopic curvature and very small cancellation theory. (Courbure mésoscopique et théorie de la toute petite simplification.) Zbl 1197.20035
Delzant, Thomas; Gromov, Misha
31
2008
Hyperbolic manifolds according to Thurston and Jorgensen. Zbl 0452.51017
Gromov, Michael
31
1981
Rigidity of lattices: An introduction. Zbl 0786.22015
Gromov, M.; Pansu, P.
29
1991
Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028
Gromov, Mikhaïl
29
2000
Infinite groups as geometric objects. Zbl 0599.20041
Gromov, Mikhael
28
1984
Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069
Connes, A.; Gromov, M.; Moscovici, H.
26
1993
Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043
Gromov, Misha
26
2008
Stabile Abbildungen von Blätterungen in Mannigfaltigkeiten. Zbl 0197.20404
Gromov, M. L.
25
1969
Large Riemannian manifolds. Zbl 0601.53038
Gromov, M.
23
1986
Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012
Gromov, M.; Lawson, H. Blaine jun.; Thurston, W.
23
1988
On the ergodicity of frame flows. Zbl 0445.58023
Brin, M.; Gromov, M.
22
1980
Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015
Eliashberg, Yasha; Gromov, Misha
22
1998
Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007
Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri
21
1990
A topological technique for the construction of solutions of differential equations and inequalities. Zbl 0237.57019
Gromov, M. L.
21
1971
Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011
Gromov, M.; Henkin, G.; Shubin, M.
21
1998
Stable mappings of foliations into manifolds. Zbl 0205.53502
Gromov, M. L.
19
1971
Quantitative homotopy theory. Zbl 0927.57022
Gromov, Mikhael
18
1999
Embeddings and immersions in Riemannian geometry. (Einbettungen und Immersionen in der Riemannschen Geometrie.) Zbl 0202.21004
Gromov, M. L.; Rokhlin, V. A.
18
1970
A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052
Gromov, Misha
18
2018
Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049
Gromov, Michel
17
1989
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
17
1991
Four lectures on scalar curvature. Zbl 07733259
Gromov, Misha
15
2023
Infinite groups as geometric objects. Zbl 0586.20016
Gromov, Mikhael
14
1984
Konvexe Integration von Differentialrelationen. I. Zbl 0254.58001
Gromov, M. L.
14
1973
Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041
Gromov, Misha; Guth, Larry
14
2012
Cuts in Kähler groups. Zbl 1116.32016
Delzant, Thomas; Gromov, Misha
13
2005
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
12
1991
Plateau-Stein manifolds. Zbl 1293.31006
Gromov, Misha
12
2014
Width and related invariants of Riemannian manifolds. Zbl 0684.53036
Gromov, M.
12
1988
Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003
Gromov, Misha
12
2017
Isometric imbeddings and immersions. Zbl 0214.50404
Gromov, M. L.
12
1970
Monotonicity of the volume of intersection of balls. Zbl 0628.46006
Gromov, M.
11
1987
Brunn theorem and a concentration of volume phenomena for symmetric convex bodies. Zbl 0953.52500
Gromov, M.; Milman, V. D.
11
1984
Soft and hard symplectic geometry. Zbl 0664.53016
Gromov, M.
10
1987
\(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029
Gromov, M.
10
2001
Synthetic geometry in Riemannian manifolds. Zbl 0427.53018
Gromov, M.
10
1980
Über eine geometrische Hypothese von Banach. Zbl 0162.44402
Gromov, M. L.
9
1967
Four lectures on scalar curvature. Zbl 07733259
Gromov, Misha
15
2023
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
8
2019
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
50
2018
A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052
Gromov, Misha
18
2018
Great circle of mysteries. Mathematics, the world, the mind. Zbl 1433.00004
Gromov, Misha
3
2018
Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003
Gromov, Misha
12
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
46
2014
Plateau-Stein manifolds. Zbl 1293.31006
Gromov, Misha
12
2014
Manifolds: Where do we come from? What are we? Where are we going? Zbl 1304.57006
Gromov, Mikhail
5
2014
In a search for a structure. I: On entropy. Zbl 1364.82009
Gromov, Misha
7
2013
Pattern formation in morphogenesis. Problems and mathematical issues. Zbl 1321.92029
2
2013
Overlap properties of geometric expanders. Zbl 1306.05171
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
41
2012
Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041
Gromov, Misha; Guth, Larry
14
2012
Super stable Kählerian horseshoe? Zbl 1319.32025
Gromov, M.
3
2012
Hilbert volume in metric spaces. I. Zbl 1243.53077
Gromov, Misha
3
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
84
2010
Interview with Mikhail Gromov. Zbl 1191.01052
Raussen, Martin; Skau, Christian
3
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
33
2009
Mesoscopic curvature and very small cancellation theory. (Courbure mésoscopique et théorie de la toute petite simplification.) Zbl 1197.20035
Delzant, Thomas; Gromov, Misha
31
2008
Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043
Gromov, Misha
26
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
211
2007
Cuts in Kähler groups. Zbl 1116.32016
Delzant, Thomas; Gromov, Misha
13
2005
Dynamical Morse entropy. Zbl 1155.37006
Bertelson, Mélanie; Gromov, Misha
8
2004
Random walk in random groups. Zbl 1122.20021
Gromov, M.
189
2003
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
159
2003
On the entropy of holomorphic maps. Zbl 1080.37051
Gromov, Mikhaïl
109
2003
Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001
Eells, J.; Fuglede, B.
72
2001
\(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029
Gromov, M.
10
2001
Mesoscopic curvature and hyperbolicity. Zbl 1006.53036
Gromov, Misha
8
2001
Mathematical slices of molecular biology. Zbl 0991.92503
Carbone, Alessandra; Gromov, Misha
8
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
59
2000
Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028
Gromov, Mikhaïl
29
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 0953.53002
Gromov, Misha
552
1999
Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001
Gromov, M.
144
1999
Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322
Gromov, Misha
138
1999
Quantitative homotopy theory. Zbl 0927.57022
Gromov, Mikhael
18
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
Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015
Eliashberg, Yasha; Gromov, Misha
22
1998
Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011
Gromov, M.; Henkin, G.; Shubin, M.
21
1998
\(L^2\) holomorphic functions on pseudo-convex coverings. Zbl 0897.32005
Gromov, M.; Henkin, G.; Shubin, M.
1
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
336
1996
Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022
Gromov, M.
67
1996
Systoles and intersystolic inequalities. Zbl 0877.53002
Gromov, Mikhael
50
1996
Geometric reflections on the Novikov conjecture. Zbl 0966.53028
Gromov, Mikhael
6
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
380
1993
Metric invariants of Kähler manifolds. Zbl 0888.53047
Gromov, M.
77
1993
Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069
Connes, A.; Gromov, M.; Moscovici, H.
26
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
166
1992
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
145
1992
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
84
1992
Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012
Eliashberg, Yakov; Gromov, Mikhael
35
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
2
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.
122
1991
Convex symplectic manifolds. Zbl 0742.53010
Eliashberg, Yakov; Gromov, Mikhael
92
1991
Sign and geometric meaning of curvature. Zbl 0820.53035
Gromov, M.
54
1991
Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017
D’Ambra, G.; Gromov, M.
40
1991
Von Neumann spectra near zero. Zbl 0751.58039
Gromov, M.; Shubin, M. A.
38
1991
Rigidity of lattices: An introduction. Zbl 0786.22015
Gromov, M.; Pansu, P.
29
1991
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
17
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
12
1991
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
61
1990
Convex sets and Kähler manifolds. Zbl 0770.53042
Gromov, M.
57
1990
Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007
Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri
21
1990
Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012
Gromov, M.
97
1989
Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049
Gromov, Michel
17
1989
Estimates of Bernstein widths of Sobolev spaces. Zbl 0683.46024
Bourgain, J.; Gromov, M.
6
1989
Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007
Gromov, M.; Piatetski-Shapiro, Ilya I.
75
1988
Rigid transformations groups. Zbl 0652.53023
Gromov, Michael
45
1988
Dimension, nonlinear spectra and width. Zbl 0664.41019
Gromov, M.
32
1988
Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012
Gromov, M.; Lawson, H. Blaine jun.; Thurston, W.
23
1988
Width and related invariants of Riemannian manifolds. Zbl 0684.53036
Gromov, M.
12
1988
Hyperbolic groups. Zbl 0634.20015
Gromov, M.
1987
Pinching constants for hyperbolic manifolds. Zbl 0646.53037
Gromov, Mikhael; Thurston, William P.
62
1987
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007
Gromov, M.; Milman, V. D.
62
1987
Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041
Gromov, M.
47
1987
Monotonicity of the volume of intersection of balls. Zbl 0628.46006
Gromov, M.
11
1987
Soft and hard symplectic geometry. Zbl 0664.53016
Gromov, M.
10
1987
Partial differential relations. Zbl 0651.53001
Gromov, Mikhael
468
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
337
1986
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
108
1986
\(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
97
1986
...and 51 more Documents
all top 5

Cited by 6,581 Authors

43 Forstnerič, Franc
35 Rodríguez García, José Manuel
34 Ceccherini-Silberstein, Tullio G.
31 Dranishnikov, Alexander Nikolaevich
29 Gromov, Mikhael Leonidovich
29 Yu, Guoliang
28 Katz, Mikhail G.
27 Tsukamoto, Masaki
26 Coornaert, Michel
24 Eliashberg, Yakov Matveevich
24 Hofer, Helmut H. W.
24 Löh, Clara
24 Myasnikov, Alexei G.
24 Naor, Assaf
24 Schröder, Viktor M. H.
23 Chepoi, Victor D.
23 Tessera, Romain
22 de Lima, Henrique F.
22 Kleiner, Bruce
21 Lubotzky, Alexander
21 Osin, Denis V.
21 Sormani, Christina
20 Lott, John
20 Mathai, Varghese
20 Rong, Xiaochun
20 Sukhov, Alexandre B.
19 Kutzschebauch, Frank
19 Mj, Mahan
19 Monod, Nicolas
19 Saloff-Coste, Laurent
19 Sisto, Alessandro
19 Weinberger, Shmuel
18 Bridson, Martin R.
18 Kapovich, Michael
18 Latrémolière, Frédéric
18 McDuff, Dusa
18 Schick, Thomas
18 Tien Cuong Dinh
17 Arzhantseva, Goulnara N.
17 Erschler, Anna
17 Franchi, Bruno
17 Fujiwara, Koji
17 Le Donne, Enrico
17 Ol’shanskiĭ, Aleksandr Yur’evich
17 Polterovich, Leonid Viktorovich
16 Bartholdi, Laurent
16 Calegari, Danny Matthew Cornelius
16 de Gosson, Maurice Alexis
16 Grove, Karsten
16 Klartag, Bo’az
16 Mémoli, Facundo
16 Sabourau, Stéphane
16 Sapir, Mark Valentinovich
16 Shioya, Takashi
16 Wise, Daniel T.
15 Magnani, Valentino
15 Mese, Chikako
15 Milman, Emanuel
15 Nabutovsky, Alexander
15 Pestov, Vladimir G.
15 Rosales, César
14 Anderson, Michael T.
14 Besson, Gérard
14 Botvinnik, Boris I.
14 Cieliebak, Kai
14 Dahmani, François
14 Elek, Gábor
14 Kim, Inkang
14 Lafont, Jean-François
14 Lárusson, Finnur
14 Pansu, Pierre
14 Petersen, Peter V
14 Pinamonti, Andrea
14 Rotman, Regina
14 Thom, Andreas Berthold
14 Wei, Guofang
13 Bowditch, Brian H.
13 Casals, Roger
13 Coulon, Rémi
13 de Cornulier, Yves
13 Farrell, F. Thomas
13 Hua, Bobo
13 Ivanov, Sergei Vladimirovich
13 Jost, Jürgen
13 Kaliman, Shulim I.
13 Li, Hanfeng
13 Loi, Andrea
13 Lück, Wolfgang
13 Milman, Vitali D.
13 Pittet, Christophe
13 Prástaro, Agostino
13 Tian, Gang
13 Vershik, Anatoliĭ Moiseevich
12 Balogh, Zoltán M.
12 Belegradek, Igor
12 Bucher, Michelle
12 Chalopin, Jérémie
12 Cheeger, Jeff
12 Dai, Xianzhe
12 Fang, Fuquan
...and 6,481 more Authors
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Cited in 566 Serials

297 Transactions of the American Mathematical Society
273 Proceedings of the American Mathematical Society
228 Advances in Mathematics
226 Geometriae Dedicata
206 Geometry & Topology
203 Mathematische Annalen
202 The Journal of Geometric Analysis
197 Inventiones Mathematicae
183 Mathematische Zeitschrift
180 Journal of Functional Analysis
170 Geometric and Functional Analysis. GAFA
166 Algebraic & Geometric Topology
165 Duke Mathematical Journal
146 Annales de l’Institut Fourier
145 Topology and its Applications
132 Israel Journal of Mathematics
119 Differential Geometry and its Applications
101 Groups, Geometry, and Dynamics
101 Journal of Topology and Analysis
96 Journal of Algebra
86 Ergodic Theory and Dynamical Systems
86 Calculus of Variations and Partial Differential Equations
81 Communications in Mathematical Physics
81 Annals of Global Analysis and Geometry
77 Journal für die Reine und Angewandte Mathematik
74 Journal of Geometry and Physics
72 Journal of Mathematical Analysis and Applications
70 Bulletin of the American Mathematical Society. New Series
70 Comptes Rendus. Mathématique. Académie des Sciences, Paris
63 Journal of the American Mathematical Society
61 Annals of Mathematics. Second Series
58 International Journal of Mathematics
52 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
50 Compositio Mathematica
50 Manuscripta Mathematica
50 Discrete & Computational Geometry
49 International Journal of Algebra and Computation
49 Communications in Contemporary Mathematics
48 Journal of Mathematical Sciences (New York)
44 Journal of the European Mathematical Society (JEMS)
42 Bulletin of the London Mathematical Society
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
38 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
38 Journal of Topology
36 Journal of Pure and Applied Algebra
36 Siberian Mathematical Journal
35 Revista Matemática Iberoamericana
35 Analysis and Geometry in Metric Spaces
34 Acta Mathematica
33 Publications Mathématiques
31 Bulletin de la Société Mathématique de France
29 Mathematical Notes
29 Mathematical Proceedings of the Cambridge Philosophical Society
29 Annali di Matematica Pura ed Applicata. Serie Quarta
29 Commentarii Mathematici Helvetici
29 Journal of Dynamical and Control Systems
28 Journal d’Analyse Mathématique
28 Memoirs of the American Mathematical Society
28 Probability Theory and Related Fields
27 Discrete Mathematics
27 Archiv der Mathematik
27 Journal of the London Mathematical Society. Second Series
27 Journal de Mathématiques Pures et Appliquées. Neuvième Série
27 Journal of Fixed Point Theory and Applications
26 Bulletin des Sciences Mathématiques
26 Acta Mathematica Sinica. English Series
26 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
25 The Annals of Probability
25 Pacific Journal of Mathematics
25 Expositiones Mathematicae
25 St. Petersburg Mathematical Journal
24 Tôhoku Mathematical Journal. Second Series
24 Journal of Noncommutative Geometry
23 Communications in Algebra
23 Journal of Differential Equations
23 Journal of Group Theory
23 Science China. Mathematics
22 Journal of Mathematical Physics
22 Potential Analysis
21 Functional Analysis and its Applications
21 Journal of Differential Geometry
21 Journal of the Mathematical Society of Japan
21 Selecta Mathematica. New Series
21 Oberwolfach Reports
21 Frontiers of Mathematics in China
20 Chinese Annals of Mathematics. Series B
19 Michigan Mathematical Journal
19 Journal of Modern Dynamics
19 Forum of Mathematics, Sigma
18 Archive for Rational Mechanics and Analysis
18 Illinois Journal of Mathematics
18 Nagoya Mathematical Journal
18 Theoretical Computer Science
18 Discrete and Continuous Dynamical Systems
18 Journal de l’École Polytechnique – Mathématiques
17 Communications on Pure and Applied Mathematics
17 Monatshefte für Mathematik
17 Transformation Groups
17 Proceedings of the Steklov Institute of Mathematics
16 Arkiv för Matematik
...and 466 more Serials
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Cited in 62 Fields

3,577 Differential geometry (53-XX)
1,714 Manifolds and cell complexes (57-XX)
1,512 Group theory and generalizations (20-XX)
1,195 Global analysis, analysis on manifolds (58-XX)
915 Dynamical systems and ergodic theory (37-XX)
759 Several complex variables and analytic spaces (32-XX)
601 Topological groups, Lie groups (22-XX)
582 Functional analysis (46-XX)
526 Combinatorics (05-XX)
504 Partial differential equations (35-XX)
409 Algebraic topology (55-XX)
408 Algebraic geometry (14-XX)
380 Probability theory and stochastic processes (60-XX)
363 General topology (54-XX)
312 Convex and discrete geometry (52-XX)
295 Functions of a complex variable (30-XX)
270 Geometry (51-XX)
263 Calculus of variations and optimal control; optimization (49-XX)
247 Abstract harmonic analysis (43-XX)
229 Computer science (68-XX)
223 Measure and integration (28-XX)
186 Operator theory (47-XX)
155 Quantum theory (81-XX)
154 \(K\)-theory (19-XX)
129 Number theory (11-XX)
114 Mathematical logic and foundations (03-XX)
97 Real functions (26-XX)
93 Potential theory (31-XX)
91 Relativity and gravitational theory (83-XX)
89 Associative rings and algebras (16-XX)
71 Category theory; homological algebra (18-XX)
64 Statistical mechanics, structure of matter (82-XX)
62 Harmonic analysis on Euclidean spaces (42-XX)
56 Mechanics of particles and systems (70-XX)
52 Nonassociative rings and algebras (17-XX)
47 Biology and other natural sciences (92-XX)
46 Ordinary differential equations (34-XX)
46 Numerical analysis (65-XX)
45 General and overarching topics; collections (00-XX)
45 Information and communication theory, circuits (94-XX)
44 Statistics (62-XX)
41 Fluid mechanics (76-XX)
38 History and biography (01-XX)
38 Operations research, mathematical programming (90-XX)
37 Systems theory; control (93-XX)
32 Mechanics of deformable solids (74-XX)
30 Linear and multilinear algebra; matrix theory (15-XX)
25 Commutative algebra (13-XX)
21 Order, lattices, ordered algebraic structures (06-XX)
20 Approximations and expansions (41-XX)
13 Field theory and polynomials (12-XX)
12 Difference and functional equations (39-XX)
11 Special functions (33-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Integral transforms, operational calculus (44-XX)
5 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)
2 Mathematics education (97-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)

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