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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, M. L.; Gromov, Michael; Gromov, Michel; Gromov, Mikhael; Gromov, Mikhail; Gromov, Mikhaël; Gromov, Mikhaïl; Gromov, Misha
Homepage: http://www.ihes.fr/~gromov/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor
Awards: Wolf Prize (1993) · Kyoto Prize in Basic Sciences (2002) · Abel Prize (2009)
Documents Indexed: 165 Publications since 1967, including 17 Books
Biographic References: 17 Publications
all top 5

Co-Authors

99 single-authored
9 Cheeger, Jeff
9 Shubin, Mikhail Aleksandrovich
8 Eliashberg, Yakov M.
7 Milman, Vitali D.
6 Connes, Alain
5 Bourgain, Jean
4 Alon, Noga M.
4 Lawson, Herbert Blaine jun.
3 Carbone, Alessandra
2 Bourguignon, Jean-Pierre
2 Braverman, Maxim
2 Bukhshtaber, Viktor Matveevich
2 Delzant, Thomas
2 Eliasberg, Ja. M.
2 Fox, Jacob
2 Ivrii, Victor Ja.
2 Khenkin, Gennadiĭ Markovich
2 Khovanskiĭ, Askold Georgievich
2 Kordyukov, Yuri A.
2 Kuchment, Peter A.
2 Lafforgue, Vincent
2 Maz’ya, Vladimir Gilelevich
2 Moscovici, Henri
2 Naor, Assaf
2 Novikov, Sergeĭ Petrovich
2 Pach, János
2 Pansu, Pierre
2 Rokhlin, Vladimir Abramovich
2 Sunada, Toshikazu
2 Thurston, William Paul
1 Aptekarev, Alexander Ivanovich
1 Ballmann, Hans Werner
1 Bertelson, Mélanie
1 Besson, Gérard
1 Brin, Michael
1 Burago, Yuriĭ Dmitrievich
1 Calabi, Eugenio
1 Capasso, Vincenzo
1 Chirka, Evgeni M.
1 D’Ambra, Giuseppina
1 Dikansky, Arnold
1 Donaldson, Simon Kirwan
1 Ebin, David G.
1 Eells, James jun.
1 Friedlander, L. F.
1 Friedlander, Leonid
1 Fuchs, Dmitry Borisovich
1 Fukaya, Kenji
1 García-Prada, Oscar
1 Grove, Karsten
1 Guth, Lawrence David
1 Harel-Bellan, Annick
1 Ilyashenko, Yulij Sergeevich
1 Kashin, Boris Sergeevich
1 Kazdan, Jerry L.
1 Kesel’man, V. M.
1 Kontsevich, Maxim Lvovich
1 Kozlov, Valeriĭ Vasil’evich
1 Krichever, Igor’ Moiseevich
1 Kruzhilin, Nikolai Georgievich
1 Lafontaine, Jacques
1 Lando, Sergei K.
1 LeBrun, Claude R.
1 Manin, Yuri Ivanovich
1 Margulis, Grigoriĭ Aleksandrovich
1 McOwen, Robert C.
1 Michelsohn, Marie-Louise
1 Morozova, Nadya
1 Nemirovskiĭ, Stefan Yur’evich
1 Perel’man, Grigoriĭ Yakovlevich
1 Piatetski-Shapiro, Ilya
1 Pritchard, Linda Louise
1 Prusinkiewicz, Przemyslaw
1 Reshetnyak, Yuriĭ Grigor’evich
1 Schoen, Richard Melvin
1 Schröder, Viktor M. H.
1 Schwarz, Albert S.
1 Shiryaev, Al’bert Nikolaevich
1 Simons, James
1 Sinaĭ, Yakov Grigor’evich
1 Suetin, Sergeĭ Pavlovich
1 Sullivan, Dennis Parnell
1 Taylor, Michael Eugene
1 Treshchev, Dmitriĭ Valer’evich
1 Vasil’ev, Viktor Anatol’evich
1 Zvonkin, Alexander K.
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Serials

11 Geometric and Functional Analysis. GAFA
9 Journal of Differential Geometry
6 Publications Mathématiques
5 Russian Mathematical Surveys
4 Inventiones Mathematicae
4 Mathematics of the USSR. Izvestiya
4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
3 Mathematical Notes
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Annals of Mathematics. Second Series
3 Central European Journal of Mathematics
3 Modern Birkhäuser Classics
2 Matematicheskie Zametki
2 Annales de l’Institut Fourier
2 Functional Analysis and its Applications
2 Soviet Mathematics. Doklady
2 Journal of the American Mathematical Society
2 L’Enseignement Mathématique. 2e Série
2 Bulletin of the American Mathematical Society. New Series
2 Notices of the American Mathematical Society
2 Progress in Mathematics
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya
1 American Journal of Mathematics
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Gazette des Mathématiciens
1 Journal für die Reine und Angewandte Mathematik
1 Matematicheskiĭ Sbornik. Novaya Seriya
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Theoretical Computer Science
1 Topology
1 The Journal of Geometric Analysis
1 Mathematics of the USSR, Sbornik
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Journal of Mathematical Sciences (New York)
1 U Sviti Matematyky
1 Mathematical Physics, Analysis and Geometry
1 Journal of the European Mathematical Society (JEMS)
1 Entropy
1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
1 London Mathematical Society Lecture Note Series
1 Proceedings of the Steklov Institute of Mathematics
1 Groups, Geometry, and Dynamics
1 Journal of Topology
1 Springer Proceedings in Mathematics
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Fields

84 Differential geometry (53-XX)
50 Manifolds and cell complexes (57-XX)
43 Global analysis, analysis on manifolds (58-XX)
14 Several complex variables and analytic spaces (32-XX)
14 Dynamical systems and ergodic theory (37-XX)
13 History and biography (01-XX)
13 Group theory and generalizations (20-XX)
10 General and overarching topics; collections (00-XX)
8 Geometry (51-XX)
7 Algebraic geometry (14-XX)
7 Topological groups, Lie groups (22-XX)
6 Combinatorics (05-XX)
6 Partial differential equations (35-XX)
6 Convex and discrete geometry (52-XX)
5 Functional analysis (46-XX)
5 Biology and other natural sciences (92-XX)
4 Operator theory (47-XX)
4 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-XX)
2 Measure and integration (28-XX)
2 Approximations and expansions (41-XX)
2 General topology (54-XX)
2 Probability theory and stochastic processes (60-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

144 Publications have been cited 7,852 times in 6,011 Documents Cited by Year
Hyperbolic groups. Zbl 0634.20015
Gromov, M.
620
1987
Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025
Gromov, M.
615
1985
Groups of polynomial growth and expanding maps. Appendix by Jacques Tits. Zbl 0474.20018
Gromov, Mikhael
532
1981
Geometric group theory. Volume 2: Asymptotic invariants of infinite groups. Proceedings of the symposium held at the Sussex University, Brighton, July 14-19, 1991. Zbl 0841.20039
Gromov, Mikhael
376
1993
Partial differential relations. Zbl 0651.53001
Gromov, Mikhael
352
1986
Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu. Zbl 0953.53002
Gromov, Misha
349
1999
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
285
1982
Filling Riemannian manifolds. Zbl 0515.53037
Gromov, Mikhael
267
1983
Carnot-Carathéodory spaces seen from within. Zbl 0864.53025
Gromov, Mikhael
252
1996
Manifolds of nonpositive curvature. Zbl 0591.53001
Ballmann, Werner; Gromov, Mikhael; Schroeder, Viktor
252
1985
Volume and bounded cohomology. Zbl 0516.53046
Gromov, M.
216
1982
Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. Zbl 0538.53047
Gromov, Mikhael; Lawson, H. Blaine jun.
193
1983
Random walk in random groups. Zbl 1122.20021
Gromov, M.
154
2003
The classification of simply connected manifolds of positive scalar curvature. Zbl 0463.53025
Gromov, Mikhael; Lawson, H. Blaine jun.
144
1980
Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
126
1992
A topological application of the isoperimetric inequality. Zbl 0522.53039
Gromov, Mikhael; Milman, V. D.
125
1983
Metric structures for Riemannian manifolds. Zbl 0509.53034
Gromov, M.
121
1981
Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001
Gromov, M.
116
1999
Curvature, diameter and Betti numbers. Zbl 0467.53021
Gromov, Michael
107
1981
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
99
2003
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
93
1986
Almost flat manifolds. Zbl 0432.53020
Gromov, M.
91
1978
Kähler hyperbolicity and \(L_ 2\)-Hodge theory. Zbl 0719.53042
Gromov, M.
88
1991
Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322
Gromov, Misha
84
1999
\(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
82
1986
Spin and scalar curvature in the presence of a fundamental group. I. Zbl 0445.53025
Gromov, Mikhael; Lawson, H. Blaine jun.
82
1980
On the entropy of holomorphic maps. Zbl 1080.37051
Gromov, Mikhaïl
75
2003
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
73
1985
Metric invariants of Kähler manifolds. Zbl 0888.53047
Gromov, M.
71
1993
Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012
Gromov, M.
69
1989
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
67
1992
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
65
1992
Convex symplectic manifolds. Zbl 0742.53010
Eliashberg, Yakov; Gromov, Mikhael
65
1991
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039
Gromov, Mikhail
63
2010
Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu. 3rd printing. Zbl 1113.53001
Gromov, Misha
62
2007
Manifolds of negative curvature. Zbl 0433.53028
Gromov, M.
53
1978
Spaces and questions. Zbl 1006.53035
Gromov, Misha
51
2000
Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007
Gromov, M.; Piatetski-Shapiro, Ilya I.
51
1988
Pinching constants for hyperbolic manifolds. Zbl 0646.53037
Gromov, Mikhael; Thurston, William P.
51
1987
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
50
1990
Homotopical effects of dilatation. Zbl 0427.58010
Gromov, Mikhael
47
1978
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007
Gromov, M.; Milman, V. D.
42
1987
Sign and geometric meaning of curvature. Zbl 0820.53035
Gromov, M.
38
1991
On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036
Cheeger, Jeff; Gromov, Mikhael
37
1985
Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022
Gromov, M.
36
1996
Convex sets and Kähler manifolds. Zbl 0770.53042
Gromov, M.
36
1990
Hyperbolic manifolds, groups and actions. Zbl 0467.53035
Gromov, M.
35
1981
Convex integration of differential relations. I. Zbl 0281.58004
Gromov, M. L.
33
1974
Overlap properties of geometric expanders. Zbl 1306.05171
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
32
2012
Von Neumann spectra near zero. Zbl 0751.58039
Gromov, M.; Shubin, M. A.
31
1991
Systoles and intersystolic inequalities. Zbl 0877.53002
Gromov, Mikhael
30
1996
Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041
Gromov, M.
29
1987
Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012
Eliashberg, Yakov; Gromov, Mikhael
28
1992
Rigid transformations groups. Zbl 0652.53023
Gromov, Michael
24
1988
Mesoscopic curvature and very small cancellation theory. Zbl 1197.20035
Delzant, Thomas; Gromov, Misha
23
2008
Rigidity of lattices: An introduction. Zbl 0786.22015
Gromov, M.; Pansu, P.
23
1991
Infinite groups as geometric objects. Zbl 0599.20041
Gromov, Mikhael
23
1984
Embeddings and immersions in Riemannian geometry. Zbl 0222.53053
Gromov, M. L.; Rokhlin, V. A.
23
1970
Dirac and Plateau billiards in domains with corners. Zbl 1315.53027
Gromov, Misha
21
2014
Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043
Gromov, Misha
21
2008
Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069
Connes, A.; Gromov, M.; Moscovici, H.
21
1993
Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017
D’Ambra, G.; Gromov, M.
21
1991
Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028
Gromov, Mikhaïl
20
2000
Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011
Gromov, M.; Henkin, G.; Shubin, M.
20
1998
Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010
Gromov, Mikhail
19
2009
Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012
Gromov, M.; Lawson, H. Blaine jun.; Thurston, W.
17
1988
On the ergodicity of frame flows. Zbl 0445.58023
Brin, M.; Gromov, M.
16
1980
Large Riemannian manifolds. Zbl 0601.53038
Gromov, M.
15
1986
Stable mappings of foliations into manifolds. Zbl 0205.53502
Gromov, M. L.
15
1971
Embeddings and immersions in Riemannian geometry. Zbl 0202.21004
Gromov, M. L.; Rokhlin, V. A.
15
1970
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
14
2018
Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015
Eliashberg, Yasha; Gromov, Misha
14
1998
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
13
1991
Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007
Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri
13
1990
Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049
Gromov, Michel
13
1989
Hyperbolic manifolds according to Thurston and Jorgensen. Zbl 0452.51017
Gromov, Michael
13
1981
Foliated Plateau problem. II: Harmonic maps of foliations. Zbl 0768.53012
Gromov, M.
12
1991
A topological technique for the construction of solutions of differential equations and inequalities. Zbl 0237.57019
Gromov, M. L.
11
1971
Isometric imbeddings and immersions. Zbl 0214.50404
Gromov, M. L.
11
1970
\(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029
Gromov, M.
10
2001
Quantitative homotopy theory. Zbl 0927.57022
Gromov, Mikhael
10
1999
Spectral geometry of semi-algebraic sets. Zbl 0759.58048
Gromov, Mikhael
10
1992
Brunn theorem and a concentration of volume phenomena for symmetric convex bodies. Zbl 0953.52500
Gromov, M.; Milman, V. D.
10
1984
Konvexe Integration von Differentialrelationen. I. Zbl 0254.58001
Gromov, M. L.
10
1973
Cuts in Kähler groups. Zbl 1116.32016
Delzant, Thomas; Gromov, Misha
9
2005
Foliated Plateau problem. I: Minimal varieties. Zbl 0768.53011
Gromov, Mikhael
9
1991
Removal of singularities of smooth mappings. Zbl 0249.58005
Gromov, M. L.; Eliasberg, Ja. M.
8
1972
Plateau-Stein manifolds. Zbl 1293.31006
Gromov, Misha
7
2014
Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041
Gromov, Misha; Guth, Larry
7
2012
Dynamical Morse entropy. Zbl 1155.37006
Bertelson, Mélanie; Gromov, Misha
7
2004
Stabile Abbildungen von Blätterungen in Mannigfaltigkeiten. Zbl 0197.20404
Gromov, M. L.
7
1969
Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003
Gromov, Misha
6
2017
Mathematical slices of molecular biology. Zbl 0991.92503
Carbone, Alessandra; Gromov, Misha
6
2001
Soft and hard symplectic geometry. Zbl 0664.53016
Gromov, M.
6
1987
Synthetic geometry in Riemannian manifolds. Zbl 0427.53018
Gromov, M.
6
1980
On simplexes inscribed in a hypersurface. Zbl 0181.25103
Gromov, M. L.
6
1969
Über eine geometrische Hypothese von Banach. Zbl 0162.44402
Gromov, M. L.
6
1967
Width and related invariants of Riemannian manifolds. Zbl 0684.53036
Gromov, M.
5
1988
Monotonicity of the volume of intersection of balls. Zbl 0628.46006
Gromov, M.
5
1987
Infinite groups as geometric objects. Zbl 0586.20016
Gromov, Mikhael
5
1984
Morse spectra, homology measures, spaces of cycles and parametric packing problems. Zbl 1456.53035
Gromov, Misha
1
2020
Mean curvature in the light of scalar curvature. Zbl 07279528
Gromov, Misha
1
2019
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
14
2018
A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052
Gromov, Misha
4
2018
Great circle of mysteries. Mathematics, the world, the mind. Zbl 1433.00004
Gromov, Misha
1
2018
Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003
Gromov, Misha
6
2017
Marcel Berger remembered. Zbl 1377.01033
LeBrun, Claude (ed.); Besson, Gérard; Gromov, Misha; Simons, James; Cheeger, Jeff; Bourguignon, Jean-Pierre; Sullivan, Dennis; Lafontaine, Jacques; Kazdan, Jerry; Michelsohn, Marie-Louise; Pansu, Pierre; Ebin, David; Grove, Karsten
1
2017
Colourful categories. Zbl 1329.05206
Gromov, M. L.
3
2015
Dirac and Plateau billiards in domains with corners. Zbl 1315.53027
Gromov, Misha
21
2014
Plateau-Stein manifolds. Zbl 1293.31006
Gromov, Misha
7
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
3
2013
Overlap properties of geometric expanders. Zbl 1306.05171
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
32
2012
Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041
Gromov, Misha; Guth, Larry
7
2012
Super stable Kählerian horseshoe? Zbl 1319.32025
Gromov, M.
2
2012
Hilbert volume in metric spaces. I. Zbl 1243.53077
Gromov, Misha
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
63
2010
Visions in mathematics. GAFA 2000 special volume, Part II. Proceedings of the meeting “Visions in Mathematics – Towards 2000, Tel Aviv, Israel, August 25–September 3, 1999. Special volume of the journal Geometric and Functional Analysis – GAFA. Reprint of the 2000 original. Zbl 1185.00038
Alon, Noga (ed.); Bourgain, Jean (ed.); Connes, Alain (ed.); Gromov, Mikhael (ed.); Milman, Vitali D. (ed.)
1
2010
Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010
Gromov, Mikhail
19
2009
Mesoscopic curvature and very small cancellation theory. Zbl 1197.20035
Delzant, Thomas; Gromov, Misha
23
2008
Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043
Gromov, Misha
21
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
62
2007
Cuts in Kähler groups. Zbl 1116.32016
Delzant, Thomas; Gromov, Misha
9
2005
Dynamical Morse entropy. Zbl 1155.37006
Bertelson, Mélanie; Gromov, Misha
7
2004
Random walk in random groups. Zbl 1122.20021
Gromov, M.
154
2003
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
99
2003
On the entropy of holomorphic maps. Zbl 1080.37051
Gromov, Mikhaïl
75
2003
\(\text{CAT}(\kappa)\)-spaces: construction and concentration. Zbl 1089.53029
Gromov, M.
10
2001
Mathematical slices of molecular biology. Zbl 0991.92503
Carbone, Alessandra; Gromov, Misha
6
2001
Mesoscopic curvature and hyperbolicity. Zbl 1006.53036
Gromov, Misha
4
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
Possible trends in mathematics in the coming decades. Zbl 1041.01503
Gromov, Mikhael
1
2001
Spaces and questions. Zbl 1006.53035
Gromov, Misha
51
2000
Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028
Gromov, Mikhaïl
20
2000
GAFA 2000. Visions in mathematics—Towards 2000. Proceedings of a meeting, Tel Aviv, Israel, August 25–September 3, 1999. Part II. Special volume of the journal Geometric and Functional Analysis. Zbl 0960.00035
Alon, N. (ed.); Bourgain, Jean (ed.); Connes, A. (ed.); Gromov, M. (ed.); Milman, V. (ed.)
1
2000
Pattern formation in biology, vision and dynamics. Including papers form the conference on pattern formation, Bures-sur-Yvette, France, December 2–6, 1997. Zbl 0959.00046
Carbone, Alessandra (ed.); Gromov, Misha (ed.); Prusinkiewicz, Przemyslaw (ed.)
1
2000
Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu. Zbl 0953.53002
Gromov, Misha
349
1999
Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001
Gromov, M.
116
1999
Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322
Gromov, Misha
84
1999
Quantitative homotopy theory. Zbl 0927.57022
Gromov, Mikhael
10
1999
The sign and geometric meaning of the curvature. “Lezione Leonardesca”. Lectures held in Milano, Italy, June 1990. Transl. from the English by V. A. Zaitsev. Zbl 0995.53025
Gromov, M.
2
1999
Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011
Gromov, M.; Henkin, G.; Shubin, M.
20
1998
Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015
Eliashberg, Yasha; Gromov, Misha
14
1998
Lagrangian intersections and the stable Morse theory. Zbl 0964.58009
Eliashberg, Yasha; Gromov, Misha
4
1997
Carnot-Carathéodory spaces seen from within. Zbl 0864.53025
Gromov, Mikhael
252
1996
Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022
Gromov, M.
36
1996
Systoles and intersystolic inequalities. Zbl 0877.53002
Gromov, Mikhael
30
1996
Geometric reflections on the Novikov conjecture. Zbl 0966.53028
Gromov, Mikhael
2
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
376
1993
Metric invariants of Kähler manifolds. Zbl 0888.53047
Gromov, M.
71
1993
Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069
Connes, A.; Gromov, M.; Moscovici, H.
21
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
126
1992
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
67
1992
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
65
1992
Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\). Zbl 0758.32012
Eliashberg, Yakov; Gromov, Mikhael
28
1992
Spectral geometry of semi-algebraic sets. Zbl 0759.58048
Gromov, Mikhael
10
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.
88
1991
Convex symplectic manifolds. Zbl 0742.53010
Eliashberg, Yakov; Gromov, Mikhael
65
1991
Sign and geometric meaning of curvature. Zbl 0820.53035
Gromov, M.
38
1991
Von Neumann spectra near zero. Zbl 0751.58039
Gromov, M.; Shubin, M. A.
31
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
9
1991
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
50
1990
Convex sets and Kähler manifolds. Zbl 0770.53042
Gromov, M.
36
1990
Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007
Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri
13
1990
Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012
Gromov, M.
69
1989
Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049
Gromov, Michel
13
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.
51
1988
Rigid transformations groups. Zbl 0652.53023
Gromov, Michael
24
1988
Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012
Gromov, M.; Lawson, H. Blaine jun.; Thurston, W.
17
1988
Width and related invariants of Riemannian manifolds. Zbl 0684.53036
Gromov, M.
5
1988
Dimension, nonlinear spectra and width. Zbl 0664.41019
Gromov, M.
4
1988
Hyperbolic groups. Zbl 0634.20015
Gromov, M.
620
1987
Pinching constants for hyperbolic manifolds. Zbl 0646.53037
Gromov, Mikhael; Thurston, William P.
51
1987
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007
Gromov, M.; Milman, V. D.
42
1987
Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041
Gromov, M.
29
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
Cauchy-Riemann equation in Lagrange intersection theory. Zbl 0634.58001
Gromov, M.
1
1987
Partial differential relations. Zbl 0651.53001
Gromov, Mikhael
352
1986
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
93
1986
\(L_ 2\)-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
82
1986
Large Riemannian manifolds. Zbl 0601.53038
Gromov, M.
15
1986
Soft and hard symplectic geometry. A plenary address presented at the international congress of mathematicians, Berkeley, CA, USA, August 1986. Videotape (NTSC; 60 min. VHS). Zbl 0917.53012
Gromov, Mikhael
2
1986
Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025
Gromov, M.
615
1985
Manifolds of nonpositive curvature. Zbl 0591.53001
Ballmann, Werner; Gromov, Mikhael; Schroeder, Viktor
252
1985
Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds. Zbl 0614.53034
Cheeger, Jeff; Gromov, Mikhael
73
1985
...and 44 more Documents
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Cited by 4,851 Authors

35 Forstnerič, Franc
29 Ceccherini-Silberstein, Tullio G.
29 Dranishnikov, Alexander Nikolaevich
28 Gromov, Mikhael Leonidovich
24 Schröder, Viktor M. H.
23 Tsukamoto, Masaki
22 Hofer, Helmut H. W.
22 Yu, Guoliang
21 Coornaert, Michel
21 Katz, Mikhail G.
21 Myasnikov, Alexei G.
21 Naor, Assaf
20 Eliashberg, Yakov M.
19 Lubotzky, Alexander
19 Rong, Xiaochun
19 Sukhov, Alexandre B.
18 McDuff, Dusa
18 Osin, Denis V.
18 Weinberger, Shmuel
17 Kleiner, Bruce
17 Tessera, Romain
16 Calegari, Danny Matthew Cornelius
16 de Lima, Henrique F.
16 Lott, John
16 Mathai, Varghese
16 Monod, Nicolas
16 Saloff-Coste, Laurent
15 Bartholdi, Laurent
15 Bridson, Martin R.
15 Kutzschebauch, Frank
15 Le Donne, Enrico
15 Ol’shanskiĭ, Aleksandr Yur’evich
15 Schick, Thomas
15 Sormani, Christina
14 Dahmani, François
14 Elek, Gábor
14 Mj, Mahan
14 Polterovich, Leonid Viktorovich
14 Tien Cuong Dinh
13 Arzhantseva, Goulnara N.
13 Bowditch, Brian H.
13 Erschler, Anna
13 Farrell, F. Thomas
13 Grove, Karsten
13 Klartag, Bo’az
13 Magnani, Valentino
13 Milman, Emanuel
13 Pestov, Vladimir G.
13 Pittet, Christophe
13 Rodríguez García, José Manuel
13 Sapir, Mark Valentinovich
13 Shioya, Takashi
13 Thom, Andreas Berthold
13 Wise, Daniel T.
12 Anderson, Michael T.
12 Balogh, Zoltán M.
12 Besson, Gérard
12 Brudnyi, Alexander
12 Cieliebak, Kai
12 de Gosson, Maurice Alexis
12 Franchi, Bruno
12 Fujiwara, Koji
12 Guentner, Erik Paul
12 Ivanov, Sergei Vladimirovich
12 Kapovich, Michael
12 Lafont, Jean-François
12 Latrémolière, Frédéric
12 Milman, Vitali D.
12 Pansu, Pierre
12 Prástaro, Agostino
12 Rosales, César
12 Sabourau, Stéphane
12 Sibony, Nessim
12 Tian, Gang
12 Wei, Guofang
11 Belegradek, Igor
11 Botvinnik, Boris I.
11 Cheeger, Jeff
11 Chepoi, Victor D.
11 Fang, Fuquan
11 Frauenfelder, Urs Adrian
11 Funano, Kei
11 Gaussier, Hervé
11 Guth, Lawrence David
11 Hind, Richard K.
11 Kapovich, Ilya
11 Lárusson, Finnur
11 Li, Hanfeng
11 Löh, Clara
11 Loi, Andrea
11 Lück, Wolfgang
11 Papasoglu, Panos
11 Petersen, Peter V
11 Ramachandran, Mohan
11 Sisto, Alessandro
10 Buyalo, Sergei V.
10 de Cornulier, Yves
10 Druţu, Cornelia
10 Dydak, Jerzy
10 Gallot, Sylvestre
...and 4,751 more Authors
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Cited in 447 Serials

260 Transactions of the American Mathematical Society
228 Proceedings of the American Mathematical Society
167 Inventiones Mathematicae
166 Geometry & Topology
165 Advances in Mathematics
163 Mathematische Annalen
158 Journal of Functional Analysis
157 Geometriae Dedicata
150 Duke Mathematical Journal
140 Geometric and Functional Analysis. GAFA
137 Mathematische Zeitschrift
132 Topology and its Applications
131 The Journal of Geometric Analysis
124 Annales de l’Institut Fourier
121 Algebraic & Geometric Topology
109 Israel Journal of Mathematics
96 Differential Geometry and its Applications
87 Journal of Algebra
71 Groups, Geometry, and Dynamics
69 Journal of Topology and Analysis
65 Journal of Geometry and Physics
65 Bulletin of the American Mathematical Society. New Series
64 Communications in Mathematical Physics
60 Journal of Mathematical Analysis and Applications
60 Annals of Global Analysis and Geometry
59 Comptes Rendus. Mathématique. Académie des Sciences, Paris
56 Journal of the American Mathematical Society
55 Calculus of Variations and Partial Differential Equations
49 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
48 Journal für die Reine und Angewandte Mathematik
47 Ergodic Theory and Dynamical Systems
43 International Journal of Algebra and Computation
43 Annals of Mathematics. Second Series
41 Manuscripta Mathematica
40 International Journal of Mathematics
39 Compositio Mathematica
38 Journal of Mathematical Sciences (New York)
36 Discrete & Computational Geometry
34 Acta Mathematica
34 Siberian Mathematical Journal
33 Journal of the European Mathematical Society (JEMS)
32 Publications Mathématiques
32 Communications in Contemporary Mathematics
31 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
28 Journal of Pure and Applied Algebra
27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
26 Revista Matemática Iberoamericana
24 Bulletin des Sciences Mathématiques
23 Mathematical Notes
23 Annali di Matematica Pura ed Applicata. Serie Quarta
23 Journal of Topology
22 St. Petersburg Mathematical Journal
22 Acta Mathematica Sinica. English Series
21 Discrete Mathematics
21 Analysis and Geometry in Metric Spaces
20 Journal d’Analyse Mathématique
20 Mathematical Proceedings of the Cambridge Philosophical Society
20 The Annals of Probability
20 Tohoku Mathematical Journal. Second Series
20 Probability Theory and Related Fields
19 Archiv der Mathematik
19 Memoirs of the American Mathematical Society
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
18 Archive for Rational Mechanics and Analysis
18 Journal of Mathematical Physics
18 Expositiones Mathematicae
17 Communications in Algebra
17 Bulletin of the London Mathematical Society
17 Journal of Dynamical and Control Systems
17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
16 Arkiv för Matematik
16 Commentarii Mathematici Helvetici
16 Functional Analysis and its Applications
16 Journal of Differential Equations
16 Monatshefte für Mathematik
16 Potential Analysis
16 Journal of Group Theory
16 Frontiers of Mathematics in China
15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
15 Discrete and Continuous Dynamical Systems
15 Proceedings of the Steklov Institute of Mathematics
15 Journal of Noncommutative Geometry
14 Illinois Journal of Mathematics
14 Nagoya Mathematical Journal
14 Proceedings of the Japan Academy. Series A
14 Theoretical Computer Science
14 European Journal of Combinatorics
14 Advances in Applied Mathematics
14 Chinese Annals of Mathematics. Series B
14 Journal of Fixed Point Theory and Applications
14 Science China. Mathematics
13 Journal of the Mathematical Society of Japan
13 Michigan Mathematical Journal
11 Communications on Pure and Applied Mathematics
11 Bulletin de la Société Mathématique de France
11 \(K\)-Theory
11 Selecta Mathematica. New Series
11 Electronic Research Announcements of the American Mathematical Society
11 Transformation Groups
11 Conformal Geometry and Dynamics
...and 347 more Serials
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Cited in 61 Fields

2,586 Differential geometry (53-XX)
1,286 Manifolds and cell complexes (57-XX)
1,089 Group theory and generalizations (20-XX)
913 Global analysis, analysis on manifolds (58-XX)
621 Dynamical systems and ergodic theory (37-XX)
587 Several complex variables and analytic spaces (32-XX)
438 Topological groups, Lie groups (22-XX)
426 Functional analysis (46-XX)
352 Combinatorics (05-XX)
345 Partial differential equations (35-XX)
301 Algebraic topology (55-XX)
267 Algebraic geometry (14-XX)
258 General topology (54-XX)
257 Probability theory and stochastic processes (60-XX)
218 Convex and discrete geometry (52-XX)
206 Functions of a complex variable (30-XX)
205 Abstract harmonic analysis (43-XX)
174 Calculus of variations and optimal control; optimization (49-XX)
154 Geometry (51-XX)
152 Measure and integration (28-XX)
140 Computer science (68-XX)
131 Operator theory (47-XX)
107 Quantum theory (81-XX)
106 \(K\)-theory (19-XX)
80 Number theory (11-XX)
79 Associative rings and algebras (16-XX)
76 Mathematical logic and foundations (03-XX)
64 Real functions (26-XX)
59 Potential theory (31-XX)
57 Relativity and gravitational theory (83-XX)
47 Harmonic analysis on Euclidean spaces (42-XX)
45 Category theory; homological algebra (18-XX)
41 Statistical mechanics, structure of matter (82-XX)
35 Biology and other natural sciences (92-XX)
34 Nonassociative rings and algebras (17-XX)
34 Mechanics of particles and systems (70-XX)
33 Ordinary differential equations (34-XX)
29 Systems theory; control (93-XX)
28 Numerical analysis (65-XX)
28 Fluid mechanics (76-XX)
27 Information and communication theory, circuits (94-XX)
24 Operations research, mathematical programming (90-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
22 Statistics (62-XX)
22 Mechanics of deformable solids (74-XX)
21 General and overarching topics; collections (00-XX)
21 History and biography (01-XX)
18 Commutative algebra (13-XX)
14 Order, lattices, ordered algebraic structures (06-XX)
11 Approximations and expansions (41-XX)
9 Difference and functional equations (39-XX)
8 Special functions (33-XX)
8 Integral transforms, operational calculus (44-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Field theory and polynomials (12-XX)
4 Classical thermodynamics, heat transfer (80-XX)
1 General algebraic systems (08-XX)
1 Sequences, series, summability (40-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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