## Gromov, Mikhael Leonidovich

Compute Distance To:
 Author ID: gromov.mikhael Published as: Gromov, M.; Gromov, Mikhael; Gromov, Misha; Gromov, M. L.; Gromov, Mikhail; Gromov, Michael; Gromov, Mikhaïl; Gromov, Mikhail Leonidovich; Gromov, Mikhail L.; Gromov, Mikhaël; Gromov, Michel more...less Further Spellings: Gromow, Misha; Громов Михаил Леонидович Homepage: http://www.ihes.fr/~gromov/ External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Awards: Wolf Prize (1993) · Kyoto Prize in Basic Sciences (2002) · Abel Prize (2009)
 Documents Indexed: 159 Publications since 1967, including 10 Books 8 Contributions as Editor · 7 Further Contributions Biographic References: 17 Publications Co-Authors: 97 Co-Authors with 74 Joint Publications 4,000 Co-Co-Authors
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### 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
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### Fields

 85 Differential geometry (53-XX) 50 Manifolds and cell complexes (57-XX) 44 Global analysis, analysis on manifolds (58-XX) 19 History and biography (01-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Group theory and generalizations (20-XX) 10 General and overarching topics; collections (00-XX) 8 Geometry (51-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 7 Partial differential equations (35-XX) 7 Convex and discrete geometry (52-XX) 6 Combinatorics (05-XX) 6 Functional analysis (46-XX) 5 Biology and other natural sciences (92-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 3 Measure and integration (28-XX) 2 Mathematical logic and foundations (03-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

147 Publications have been cited 8,574 times in 6,384 Documents Cited by Year
Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025
Gromov, M.
1985
Groups of polynomial growth and expanding maps. Appendix by Jacques Tits. Zbl 0474.20018
Gromov, Mikhael
1981
Hyperbolic groups. Zbl 0634.20015
Gromov, M.
1987
Partial differential relations. Zbl 0651.53001
Gromov, Mikhael
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
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
1982
Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu. Zbl 0953.53002
Gromov, Misha
1999
Filling Riemannian manifolds. Zbl 0515.53037
Gromov, Mikhael
1983
Carnot-Carathéodory spaces seen from within. Zbl 0864.53025
Gromov, Mikhael
1996
Manifolds of nonpositive curvature. Zbl 0591.53001
Ballmann, Werner; Gromov, Mikhael; Schroeder, Viktor
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
1986
Volume and bounded cohomology. Zbl 0516.53046
Gromov, M.
1982
Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. Zbl 0538.53047
Gromov, Mikhael; Lawson, H. Blaine jun.
1983
Random walk in random groups. Zbl 1122.20021
Gromov, M.
2003
The classification of simply connected manifolds of positive scalar curvature. Zbl 0463.53025
Gromov, Mikhael; Lawson, H. Blaine jun.
1980
Harmonic maps into singular spaces and $$p$$-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
1992
A topological application of the isoperimetric inequality. Zbl 0522.53039
Gromov, Mikhael; Milman, V. D.
1983
Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001
Gromov, M.
1999
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
2003
Metric structures for Riemannian manifolds. (Structures métriques pour les variétés riemanniennes. Rédigé par J. Lafontaine et P. Pansu.) Zbl 0509.53034
Gromov, M.
1981
Curvature, diameter and Betti numbers. Zbl 0467.53021
Gromov, Michael
1981
Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322
Gromov, Misha
1999
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
1986
Kähler hyperbolicity and $$L_ 2$$-Hodge theory. Zbl 0719.53042
Gromov, M.
1991
Spin and scalar curvature in the presence of a fundamental group. I. Zbl 0445.53025
Gromov, Mikhael; Lawson, H. Blaine jun.
1980
Almost flat manifolds. Zbl 0432.53020
Gromov, M.
1978
On the entropy of holomorphic maps. Zbl 1080.37051
Gromov, Mikhaïl
2003
$$L_ 2$$-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
1986
Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012
Gromov, M.
1989
Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu. 3rd printing. Zbl 1113.53001
Gromov, Misha
2007
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
1985
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
1992
Convex symplectic manifolds. Zbl 0742.53010
Eliashberg, Yakov; Gromov, Mikhael
1991
Metric invariants of Kähler manifolds. Zbl 0888.53047
Gromov, M.
1993
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039
Gromov, Mikhail
2010
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
1992
Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001
Eells, J.; Fuglede, B.
2001
Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007
Gromov, M.; Piatetski-Shapiro, Ilya I.
1988
Pinching constants for hyperbolic manifolds. Zbl 0646.53037
Gromov, Mikhael; Thurston, William P.
1987
Homotopical effects of dilatation. Zbl 0427.58010
Gromov, Mikhael
1978
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007
Gromov, M.; Milman, V. D.
1987
Manifolds of negative curvature. Zbl 0433.53028
Gromov, M.
1978
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
1990
Spaces and questions. Special volume of the journal Geometric and Functional Analysis. Zbl 1006.53035
Gromov, Misha
2000
Convex sets and Kähler manifolds. Zbl 0770.53042
Gromov, M.
1990
Sign and geometric meaning of curvature. Zbl 0820.53035
Gromov, M.
1991
Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022
Gromov, M.
1996
Hyperbolic manifolds, groups and actions. Zbl 0467.53035
Gromov, M.
1981
Overlap properties of geometric expanders. Zbl 1306.05171
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
2012
Convex integration of differential relations. I. Zbl 0281.58004
Gromov, M. L.
1974
Von Neumann spectra near zero. Zbl 0751.58039
Gromov, M.; Shubin, M. A.
1991
On the characteristic numbers of complete manifolds of bounded curvature and finite volume. Zbl 0592.53036
Cheeger, Jeff; Gromov, Mikhael
1985
Systoles and intersystolic inequalities. Zbl 0877.53002
Gromov, Mikhael
1996
Embeddings of Stein manifolds of dimension $$n$$ into the affine space of dimension $$3n/2+1$$. Zbl 0758.32012
Eliashberg, Yakov; Gromov, Mikhael
1992
Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041
Gromov, M.
1987
Mesoscopic curvature and very small cancellation theory. (Courbure mésoscopique et théorie de la toute petite simplification.) Zbl 1197.20035
Delzant, Thomas; Gromov, Misha
2008
Dirac and Plateau billiards in domains with corners. Zbl 1315.53027
Gromov, Misha
2014
Embeddings and immersions in Riemannian geometry. Zbl 0222.53053
Gromov, M. L.; Rokhlin, V. A.
1970
Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069
Connes, A.; Gromov, M.; Moscovici, H.
1993
Rigidity of lattices: An introduction. Zbl 0786.22015
Gromov, M.; Pansu, P.
1991
Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028
Gromov, Mikhaïl
2000
Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010
Gromov, Mikhail
2009
Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043
Gromov, Misha
2008
Rigid transformations groups. Zbl 0652.53023
Gromov, Michael
1988
Holomorphic $$L^2$$ functions on coverings of pseudoconvex manifolds. Zbl 0926.32011
Gromov, M.; Henkin, G.; Shubin, M.
1998
Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017
D’Ambra, G.; Gromov, M.
1991
Infinite groups as geometric objects. Zbl 0599.20041
Gromov, Mikhael
1984
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
2018
On the ergodicity of frame flows. Zbl 0445.58023
Brin, M.; Gromov, M.
1980
Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012
Gromov, M.; Lawson, H. Blaine jun.; Thurston, W.
1988
Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007
Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri
1990
Stable mappings of foliations into manifolds. Zbl 0205.53502
Gromov, M. L.
1971
Embeddings and immersions in Riemannian geometry. (Einbettungen und Immersionen in der Riemannschen Geometrie.) Zbl 0202.21004
Gromov, M. L.; Rokhlin, V. A.
1970
Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015
Eliashberg, Yasha; Gromov, Misha
1998
Hyperbolic manifolds according to Thurston and Jorgensen. Zbl 0452.51017
Gromov, Michael
1981
Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049
Gromov, Michel
1989
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
1991
Foliated Plateau problem. II: Harmonic maps of foliations. Zbl 0768.53012
Gromov, M.
1991
Large Riemannian manifolds. Zbl 0601.53038
Gromov, M.
1986
Isometric imbeddings and immersions. Zbl 0214.50404
Gromov, M. L.
1970
Quantitative homotopy theory. Zbl 0927.57022
Gromov, Mikhael
1999
Foliated Plateau problem. I: Minimal varieties. Zbl 0768.53011
Gromov, Mikhael
1991
Cuts in Kähler groups. Zbl 1116.32016
Delzant, Thomas; Gromov, Misha
2005
Konvexe Integration von Differentialrelationen. I. Zbl 0254.58001
Gromov, M. L.
1973
Plateau-Stein manifolds. Zbl 1293.31006
Gromov, Misha
2014
$$\text{CAT}(\kappa)$$-spaces: construction and concentration. Zbl 1089.53029
Gromov, M.
2001
Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041
Gromov, Misha; Guth, Larry
2012
A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052
Gromov, Misha
2018
Spectral geometry of semi-algebraic sets. Zbl 0759.58048
Gromov, Mikhael
1992
Stabile Abbildungen von Blätterungen in Mannigfaltigkeiten. Zbl 0197.20404
Gromov, M. L.
1969
Brunn theorem and a concentration of volume phenomena for symmetric convex bodies. Zbl 0953.52500
Gromov, M.; Milman, V. D.
1984
Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003
Gromov, Misha
2017
Width and related invariants of Riemannian manifolds. Zbl 0684.53036
Gromov, M.
1988
Dynamical Morse entropy. Zbl 1155.37006
Bertelson, Mélanie; Gromov, Misha
2004
A topological technique for the construction of solutions of differential equations and inequalities. Zbl 0237.57019
Gromov, M. L.
1971
Removal of singularities of smooth mappings. Zbl 0249.58005
Gromov, M. L.; Èliashberg, Ya. M.
1972
Über eine geometrische Hypothese von Banach. Zbl 0162.44402
Gromov, M. L.
1967
On simplexes inscribed in a hypersurface. Zbl 0181.25103
Gromov, M. L.
1969
Soft and hard symplectic geometry. Zbl 0664.53016
Gromov, M.
1987
Infinite groups as geometric objects. Zbl 0586.20016
Gromov, Mikhael
1984
Morse spectra, homology measures, spaces of cycles and parametric packing problems. Zbl 1456.53035
Gromov, Misha
2020
Mean curvature in the light of scalar curvature. (Courbure moyenne à la lumière de la courbure scalaire.) Zbl 1467.53041
Gromov, Misha
2019
Metric inequalities with scalar curvature. Zbl 1396.53068
Gromov, Misha
2018
A dozen problems, questions and conjectures about positive scalar curvature. Zbl 1432.53052
Gromov, Misha
2018
Great circle of mysteries. Mathematics, the world, the mind. Zbl 1433.00004
Gromov, Misha
2018
Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003
Gromov, Misha
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
2017
Colourful categories. Zbl 1329.05206
Gromov, M. L.
2015
Dirac and Plateau billiards in domains with corners. Zbl 1315.53027
Gromov, Misha
2014
Plateau-Stein manifolds. Zbl 1293.31006
Gromov, Misha
2014
Manifolds: Where do we come from? What are we? Where are we going? Zbl 1304.57006
Gromov, Mikhail
2014
In a search for a structure. I: On entropy. Zbl 1364.82009
Gromov, Misha
2013
Overlap properties of geometric expanders. Zbl 1306.05171
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
2012
Generalizations of the Kolmogorov-Barzdin embedding estimates. Zbl 1261.53041
Gromov, Misha; Guth, Larry
2012
Hilbert volume in metric spaces. I. Zbl 1243.53077
Gromov, Misha
2012
Super stable Kählerian horseshoe? Zbl 1319.32025
Gromov, M.
2012
Crystals, proteins, stability and isoperimetry. Zbl 1211.92019
Gromov, Misha
2011
Overlap properties of geometric expanders (extended abstract). Zbl 1376.05101
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
2011
Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry. Zbl 1251.05039
Gromov, Mikhail
2010
Interview with Mikhail Gromov. Zbl 1191.01052
Raussen, Martin; Skau, Christian
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
2010
Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles. Zbl 1195.58010
Gromov, Mikhail
2009
Mesoscopic curvature and very small cancellation theory. (Courbure mésoscopique et théorie de la toute petite simplification.) Zbl 1197.20035
Delzant, Thomas; Gromov, Misha
2008
Entropy and isoperimetry for linear and non-linear group actions. Zbl 1280.20043
Gromov, Misha
2008
Mendelian dynamics and Sturtevant’s paradigm. Zbl 1207.92036
Gromov, M.
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
2007
Cuts in Kähler groups. Zbl 1116.32016
Delzant, Thomas; Gromov, Misha
2005
Dynamical Morse entropy. Zbl 1155.37006
Bertelson, Mélanie; Gromov, Misha
2004
Random walk in random groups. Zbl 1122.20021
Gromov, M.
2003
Isoperimetry of waists and concentration of maps. Zbl 1044.46057
Gromov, M.
2003
On the entropy of holomorphic maps. Zbl 1080.37051
Gromov, Mikhaïl
2003
Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001
Eells, J.; Fuglede, B.
2001
$$\text{CAT}(\kappa)$$-spaces: construction and concentration. Zbl 1089.53029
Gromov, M.
2001
Mathematical slices of molecular biology. Zbl 0991.92503
Carbone, Alessandra; Gromov, Misha
2001
Mesoscopic curvature and hyperbolicity. Zbl 1006.53036
Gromov, Misha
2001
Possible trends in mathematics in the coming decades. Zbl 1041.01503
Gromov, Mikhael
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
2001
Spaces and questions. Special volume of the journal Geometric and Functional Analysis. Zbl 1006.53035
Gromov, Misha
2000
Three remarks on geodesic dynamics and fundamental group. Zbl 1002.53028
Gromov, Mikhaïl
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
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
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
1999
Endomorphisms of symbolic algebraic varieties. Zbl 0998.14001
Gromov, M.
1999
Topological invariants of dynamical systems and spaces of holomorphic maps. I. Zbl 1160.37322
Gromov, Misha
1999
Quantitative homotopy theory. Zbl 0927.57022
Gromov, Mikhael
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.
1999
Holomorphic $$L^2$$ functions on coverings of pseudoconvex manifolds. Zbl 0926.32011
Gromov, M.; Henkin, G.; Shubin, M.
1998
Lagrangian intersection theory: finite-dimensional approach. Zbl 0919.58015
Eliashberg, Yasha; Gromov, Misha
1998
Lagrangian intersections and the stable Morse theory. Zbl 0964.58009
Eliashberg, Yasha; Gromov, Misha
1997
Carnot-Carathéodory spaces seen from within. Zbl 0864.53025
Gromov, Mikhael
1996
Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Zbl 0945.53022
Gromov, M.
1996
Systoles and intersystolic inequalities. Zbl 0877.53002
Gromov, Mikhael
1996
Geometric reflections on the Novikov conjecture. Zbl 0966.53028
Gromov, Mikhael
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.
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
1993
Metric invariants of Kähler manifolds. Zbl 0888.53047
Gromov, M.
1993
Group cohomology with Lipschitz control and higher signatures. Zbl 0789.58069
Connes, A.; Gromov, M.; Moscovici, H.
1993
The Riemann-Roch theorem for elliptic operators. Zbl 0802.58051
Gromov, Mikhael; Shubin, Mikhail A.
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.
1993
Harmonic maps into singular spaces and $$p$$-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
1992
Nilpotent structures and invariant metrics on collapsed manifolds. Zbl 0758.53022
Cheeger, Jeff; Fukaya, Kenji; Gromov, Mikhael
1992
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel&rsquo;man, G.
1992
Embeddings of Stein manifolds of dimension $$n$$ into the affine space of dimension $$3n/2+1$$. Zbl 0758.32012
Eliashberg, Yakov; Gromov, Mikhael
1992
Spectral geometry of semi-algebraic sets. Zbl 0759.58048
Gromov, Mikhael
1992
Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds. Zbl 0797.57016
Gromov, M.; Shubin, M. A.
1992
The Riemann-Roch theorem for general elliptic operators. Zbl 0758.58030
Gromov, Mikhaël; Shubin, Mikhail A.
1992
Stability and pinching. Zbl 0780.53028
Gromov, Mikhael
1992
Kähler hyperbolicity and $$L_ 2$$-Hodge theory. Zbl 0719.53042
Gromov, M.
1991
Convex symplectic manifolds. Zbl 0742.53010
Eliashberg, Yakov; Gromov, Mikhael
1991
Sign and geometric meaning of curvature. Zbl 0820.53035
Gromov, M.
1991
Von Neumann spectra near zero. Zbl 0751.58039
Gromov, M.; Shubin, M. A.
1991
Rigidity of lattices: An introduction. Zbl 0786.22015
Gromov, M.; Pansu, P.
1991
Lectures on transformation groups: geometry and dynamics. Zbl 0752.57017
D&rsquo;Ambra, G.; Gromov, M.
1991
Chopping Riemannian manifolds. Zbl 0722.53045
Cheeger, Jeff; Gromov, Mikhael
1991
Foliated Plateau problem. II: Harmonic maps of foliations. Zbl 0768.53012
Gromov, M.
1991
Foliated Plateau problem. I: Minimal varieties. Zbl 0768.53011
Gromov, Mikhael
1991
Collapsing Riemannian manifolds while keeping their curvature bounded. II. Zbl 0727.53043
Cheeger, Jeff; Gromov, Mikhael
1990
Convex sets and Kähler manifolds. Zbl 0770.53042
Gromov, M.
1990
Conjecture de Novikov et fibrés presque plats. (Novikov conjecture and almost flat vector bundles). Zbl 0693.53007
Connes, Alain; Gromov, Mikhaïl; Moscovici, Henri
1990
Oka’s principle for holomorphic sections of elliptic bundles. Zbl 0686.32012
Gromov, M.
1989
Sur le groupe fondamental d’une variété kählérienne. (On the fundamental group of a Kähler manifold). Zbl 0661.53049
Gromov, Michel
1989
Estimates of Bernstein widths of Sobolev spaces. Zbl 0683.46024
Bourgain, J.; Gromov, M.
1989
Non-arithmetic groups in Lobachevsky spaces. Zbl 0649.22007
Gromov, M.; Piatetski-Shapiro, Ilya I.
1988
Rigid transformations groups. Zbl 0652.53023
Gromov, Michael
1988
Hyperbolic 4-manifolds and conformally flat 3-manifolds. Zbl 0692.57012
Gromov, M.; Lawson, H. Blaine jun.; Thurston, W.
1988
Width and related invariants of Riemannian manifolds. Zbl 0684.53036
Gromov, M.
1988
Dimension, nonlinear spectra and width. Zbl 0664.41019
Gromov, M.
1988
Hyperbolic groups. Zbl 0634.20015
Gromov, M.
1987
Pinching constants for hyperbolic manifolds. Zbl 0646.53037
Gromov, Mikhael; Thurston, William P.
1987
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007
Gromov, M.; Milman, V. D.
1987
Entropy, homology and semialgebraic geometry [after Y. Yomdin]. Zbl 0611.58041
Gromov, M.
1987
Soft and hard symplectic geometry. Zbl 0664.53016
Gromov, M.
1987
Monotonicity of the volume of intersection of balls. Zbl 0628.46006
Gromov, M.
1987
Partial differential relations. Zbl 0651.53001
Gromov, Mikhael
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
1986
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
1986
$$L_ 2$$-cohomology and group cohomology. Zbl 0597.57020
Cheeger, Jeff; Gromov, Mikhael
1986
Large Riemannian manifolds. Zbl 0601.53038
Gromov, M.
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
1986
Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025
Gromov, M.
1985
...and 47 more Documents
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### Cited by 5,074 Authors

 37 Forstnerič, Franc 31 Ceccherini-Silberstein, Tullio G. 28 Gromov, Mikhael Leonidovich 25 Dranishnikov, Alexander Nikolaevich 25 Katz, Mikhail G. 25 Tsukamoto, Masaki 24 Schröder, Viktor M. H. 24 Yu, Guoliang 23 Coornaert, Michel 22 Eliashberg, Yakov Matveevich 22 Hofer, Helmut H. W. 22 Myasnikov, Alexei G. 21 Naor, Assaf 20 Lubotzky, Alexander 19 de Lima, Henrique F. 19 Kleiner, Bruce 19 Rong, Xiaochun 19 Sukhov, Alexandre B. 19 Tessera, Romain 18 Lott, John 18 McDuff, Dusa 18 Weinberger, Shmuel 17 Monod, Nicolas 17 Schick, Thomas 16 Bartholdi, Laurent 16 Calegari, Danny Matthew Cornelius 16 Kutzschebauch, Frank 16 Löh, Clara 16 Mathai, Varghese 16 Mj, Mahan 16 Osin, Denis V. 16 Saloff-Coste, Laurent 15 Erschler, Anna 15 Polterovich, Leonid Viktorovich 15 Sormani, Christina 15 Tien Cuong Dinh 14 Bridson, Martin R. 14 Dahmani, François 14 Elek, Gábor 14 Klartag, Bo’az 14 Latrémolière, Frédéric 14 Le Donne, Enrico 14 Magnani, Valentino 14 Milman, Emanuel 14 Sabourau, Stéphane 13 Anderson, Michael T. 13 Cieliebak, Kai 13 de Gosson, Maurice Alexis 13 Farrell, F. Thomas 13 Franchi, Bruno 13 Kapovich, Michael 13 Lafont, Jean-François 13 Mese, Chikako 13 Ol’shanskiĭ, Aleksandr Yur’evich 13 Pansu, Pierre 13 Rosales, César 13 Sapir, Mark Valentinovich 13 Shioya, Takashi 13 Thom, Andreas Berthold 12 Balogh, Zoltán M. 12 Besson, Gérard 12 Botvinnik, Boris I. 12 Bowditch, Brian H. 12 de Cornulier, Yves 12 Fujiwara, Koji 12 Grove, Karsten 12 Ivanov, Sergei Vladimirovich 12 Lárusson, Finnur 12 Milman, Vitali D. 12 Nabutovsky, Alexander 12 Pestov, Vladimir G. 12 Pittet, Christophe 12 Prástaro, Agostino 12 Ritoré, Manuel 12 Rodríguez García, José Manuel 12 Rotman, Regina 12 Sauer, Roman 12 Sibony, Nessim 12 Sisto, Alessandro 12 Tian, Gang 12 Wei, Guofang 11 Belegradek, Igor 11 Brudnyi, Alexander 11 Cheeger, Jeff 11 Coulon, Rémi 11 Frauenfelder, Urs Adrian 11 Funano, Kei 11 Gaussier, Hervé 11 Guentner, Erik Paul 11 Guth, Lawrence David 11 Gutman, Yonatan 11 Hind, Richard K. 11 Kaliman, Shulim I. 11 Karmanova, Maria B. 11 Kim, Inkang 11 Li, Hanfeng 11 Loi, Andrea 11 Lück, Wolfgang 11 Papasoglu, Panos 11 Petersen, Peter V ...and 4,974 more Authors
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### Cited in 477 Serials

 256 Transactions of the American Mathematical Society 231 Proceedings of the American Mathematical Society 174 Inventiones Mathematicae 174 Mathematische Annalen 172 Advances in Mathematics 170 Geometriae Dedicata 166 Geometry & Topology 153 Duke Mathematical Journal 153 The Journal of Geometric Analysis 150 Geometric and Functional Analysis. GAFA 149 Mathematische Zeitschrift 146 Journal of Functional Analysis 131 Annales de l’Institut Fourier 117 Algebraic & Geometric Topology 114 Israel Journal of Mathematics 100 Topology and its Applications 94 Differential Geometry and its Applications 87 Groups, Geometry, and Dynamics 78 Journal of Topology and Analysis 73 Journal of Algebra 69 Communications in Mathematical Physics 69 Annals of Global Analysis and Geometry 68 Bulletin of the American Mathematical Society. New Series 63 Ergodic Theory and Dynamical Systems 62 Calculus of Variations and Partial Differential Equations 57 Journal of the American Mathematical Society 56 Journal of Geometry and Physics 55 Journal of Mathematical Analysis and Applications 52 Comptes Rendus. Mathématique. Académie des Sciences, Paris 50 Journal für die Reine und Angewandte Mathematik 49 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 47 Annals of Mathematics. Second Series 46 International Journal of Mathematics 46 International Journal of Algebra and Computation 42 Compositio Mathematica 41 Manuscripta Mathematica 41 Journal of Mathematical Sciences (New York) 39 Journal of the European Mathematical Society (JEMS) 37 Discrete & Computational Geometry 37 Communications in Contemporary Mathematics 35 Siberian Mathematical Journal 34 Acta Mathematica 32 Publications Mathématiques 32 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Revista Matemática Iberoamericana 26 Mathematical Proceedings of the Cambridge Philosophical Society 24 Annali di Matematica Pura ed Applicata. Serie Quarta 24 St. Petersburg Mathematical Journal 23 Mathematical Notes 23 Bulletin des Sciences Mathématiques 23 Acta Mathematica Sinica. English Series 23 Journal of Fixed Point Theory and Applications 23 Journal of Topology 22 Archiv der Mathematik 22 Tohoku Mathematical Journal. Second Series 22 Analysis and Geometry in Metric Spaces 21 The Annals of Probability 21 Memoirs of the American Mathematical Society 21 Probability Theory and Related Fields 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 Expositiones Mathematicae 20 Journal d’Analyse Mathématique 20 Commentarii Mathematici Helvetici 20 Journal of Dynamical and Control Systems 19 Journal of Mathematical Physics 19 Journal of Noncommutative Geometry 18 Archive for Rational Mechanics and Analysis 18 Communications in Algebra 18 Discrete Mathematics 18 Journal of Differential Equations 18 Journal of Pure and Applied Algebra 18 Potential Analysis 18 Journal of Group Theory 18 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 17 Bulletin of the London Mathematical Society 17 Functional Analysis and its Applications 17 Chinese Annals of Mathematics. Series B 17 Science China. Mathematics 16 Arkiv för Matematik 16 Journal of the Mathematical Society of Japan 16 Monatshefte für Mathematik 16 Nagoya Mathematical Journal 16 Discrete and Continuous Dynamical Systems 16 Frontiers of Mathematics in China 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Proceedings of the Steklov Institute of Mathematics 14 Illinois Journal of Mathematics 14 Proceedings of the Japan Academy. Series A 14 Selecta Mathematica. New Series 13 Michigan Mathematical Journal 13 Advances in Applied Mathematics 13 Transformation Groups 13 Annales Henri Poincaré 12 Results in Mathematics 12 Journal of Modern Dynamics 11 Communications on Pure and Applied Mathematics 11 Bulletin de la Société Mathématique de France 11 Theoretical Computer Science 11 European Journal of Combinatorics ...and 377 more Serials
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### Cited in 62 Fields

 2,761 Differential geometry (53-XX) 1,340 Manifolds and cell complexes (57-XX) 1,114 Group theory and generalizations (20-XX) 982 Global analysis, analysis on manifolds (58-XX) 702 Dynamical systems and ergodic theory (37-XX) 633 Several complex variables and analytic spaces (32-XX) 468 Topological groups, Lie groups (22-XX) 462 Functional analysis (46-XX) 379 Partial differential equations (35-XX) 377 Combinatorics (05-XX) 315 Algebraic topology (55-XX) 302 Algebraic geometry (14-XX) 284 Probability theory and stochastic processes (60-XX) 259 General topology (54-XX) 241 Convex and discrete geometry (52-XX) 221 Functions of a complex variable (30-XX) 217 Abstract harmonic analysis (43-XX) 193 Calculus of variations and optimal control; optimization (49-XX) 177 Geometry (51-XX) 166 Measure and integration (28-XX) 137 Operator theory (47-XX) 137 Computer science (68-XX) 125 $$K$$-theory (19-XX) 115 Quantum theory (81-XX) 87 Number theory (11-XX) 78 Mathematical logic and foundations (03-XX) 76 Associative rings and algebras (16-XX) 69 Real functions (26-XX) 66 Potential theory (31-XX) 64 Relativity and gravitational theory (83-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 49 Statistical mechanics, structure of matter (82-XX) 45 Category theory; homological algebra (18-XX) 39 Mechanics of particles and systems (70-XX) 36 Nonassociative rings and algebras (17-XX) 35 Ordinary differential equations (34-XX) 35 Biology and other natural sciences (92-XX) 32 Information and communication theory, circuits (94-XX) 29 Numerical analysis (65-XX) 29 Fluid mechanics (76-XX) 29 Systems theory; control (93-XX) 27 History and biography (01-XX) 27 Operations research, mathematical programming (90-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 24 General and overarching topics; collections (00-XX) 24 Statistics (62-XX) 24 Mechanics of deformable solids (74-XX) 20 Commutative algebra (13-XX) 13 Approximations and expansions (41-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 10 Special functions (33-XX) 10 Difference and functional equations (39-XX) 8 Integral transforms, operational calculus (44-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Field theory and polynomials (12-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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