×

Perel’man, Grigoriĭ Yakovlevich

Compute Distance To:
Author ID: perelman.grigori-yakovlevich Recent zbMATH articles by "Perel’man, Grigoriĭ Yakovlevich"
Published as: Perel’man, G. Ya.; Perelman, Grisha; Perelman, G.; Perel’man, G.
Further Spellings: Перельман Григорий Яковлевич
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Awards: EMS Prize (1996) · Fields Medal (2006)
Documents Indexed: 22 Publications since 1985
Biographic References: 7 Publications
Co-Authors: 4 Co-Authors with 3 Joint Publications
146 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

19 Publications have been cited 1,619 times in 1,098 Documents Cited by Year
The entropy formula for the Ricci flow and its geometric applications. Zbl 1130.53001
Perelman, Grisha
791
2002
Ricci flow with surgery on three-manifolds. Zbl 1130.53002
Perelman, Grisha
364
2003
Finite extinction time for the solutions to the Ricci flow on certain three-manifolds. Zbl 1130.53003
Perelman, Grisha
210
2003
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
62
1992
Proof of the soul conjecture of Cheeger and Gromoll. Zbl 0818.53056
Perelman, Grisha
41
1994
Manifolds of positive Ricci curvature with almost maximal volume. Zbl 0799.53050
Perelman, Grisha
30
1994
Spaces with curvature bounded below. Zbl 0838.53033
Perelman, Grisha
27
1995
Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers. Zbl 0890.53038
Perelman, G.
26
1997
Extremal subsets in Aleksandrov spaces and the generalized Liberman theorem. Zbl 0802.53019
Perel’man, G. Ya.; Petrunin, A. M.
18
1993
A complete Riemannian manifold of positive Ricci curvature with Euclidean volume growth and nonunique asymptotic cone. Zbl 0887.53038
Perelman, G.
14
1997
Elements of Morse theory on Aleksandrov spaces. Zbl 0815.53072
Perel’man, G. Ya.
13
1993
A diameter sphere theorem for manifolds of positive Ricci curvature. Zbl 0831.53033
Perelman, Grisha
7
1995
Collapsing with no proper extremal subsets. Zbl 0887.53049
Perelman, Grisha
5
1997
On the k-radii of a convex body. Zbl 0623.52007
Perel’man, G. Ya.
4
1987
Widths of nonnegatively curved spaces. Zbl 0845.53031
Perelman, Grisha
2
1995
On the k radii of a convex body. Zbl 0637.52009
Perel’man, G. Ya.
2
1987
Example of a complete saddle surface in \(R^ 4\) with Gaussian curvature bounded away from zero. Zbl 0741.53037
Perel’man, G. Ya.
1
1989
A remark on the Helly theorem. Zbl 0615.52009
Polikanova, I. V.; Perel’man, G. Ya.
1
1986
An example of a complete saddle surface in \(R^ 4\) with Gaussian curvature different from zero. Zbl 0714.53035
Perel’man, G. Ya.
1
1989
Ricci flow with surgery on three-manifolds. Zbl 1130.53002
Perelman, Grisha
364
2003
Finite extinction time for the solutions to the Ricci flow on certain three-manifolds. Zbl 1130.53003
Perelman, Grisha
210
2003
The entropy formula for the Ricci flow and its geometric applications. Zbl 1130.53001
Perelman, Grisha
791
2002
Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers. Zbl 0890.53038
Perelman, G.
26
1997
A complete Riemannian manifold of positive Ricci curvature with Euclidean volume growth and nonunique asymptotic cone. Zbl 0887.53038
Perelman, G.
14
1997
Collapsing with no proper extremal subsets. Zbl 0887.53049
Perelman, Grisha
5
1997
Spaces with curvature bounded below. Zbl 0838.53033
Perelman, Grisha
27
1995
A diameter sphere theorem for manifolds of positive Ricci curvature. Zbl 0831.53033
Perelman, Grisha
7
1995
Widths of nonnegatively curved spaces. Zbl 0845.53031
Perelman, Grisha
2
1995
Proof of the soul conjecture of Cheeger and Gromoll. Zbl 0818.53056
Perelman, Grisha
41
1994
Manifolds of positive Ricci curvature with almost maximal volume. Zbl 0799.53050
Perelman, Grisha
30
1994
Extremal subsets in Aleksandrov spaces and the generalized Liberman theorem. Zbl 0802.53019
Perel’man, G. Ya.; Petrunin, A. M.
18
1993
Elements of Morse theory on Aleksandrov spaces. Zbl 0815.53072
Perel’man, G. Ya.
13
1993
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
62
1992
Example of a complete saddle surface in \(R^ 4\) with Gaussian curvature bounded away from zero. Zbl 0741.53037
Perel’man, G. Ya.
1
1989
An example of a complete saddle surface in \(R^ 4\) with Gaussian curvature different from zero. Zbl 0714.53035
Perel’man, G. Ya.
1
1989
On the k-radii of a convex body. Zbl 0623.52007
Perel’man, G. Ya.
4
1987
On the k radii of a convex body. Zbl 0637.52009
Perel’man, G. Ya.
2
1987
A remark on the Helly theorem. Zbl 0615.52009
Polikanova, I. V.; Perel’man, G. Ya.
1
1986
all top 5

Cited by 1,000 Authors

23 Wu, Jiayong
20 Ma, Li
15 Wang, Linfeng
14 Brendle, Simon
14 Cao, Huai-Dong
13 Guo, Hongxin
13 Lu, Peng
13 Tian, Gang
12 Abolarinwa, Abimbola
12 Azami, Shahroud
12 Lott, John
11 Catino, Giovanni
11 Chow, Bennett
10 Cao, Xiaodong
10 Streets, Jeffrey D.
10 Wang, Bing
9 Chen, Xiuxiong
9 Galaz-Garcia, Fernando
9 Li, Xiang-Dong
9 Vacaru, Sergiu Ion
9 Zhang, Yongjia
9 Zhang, Zhenlei
9 Zhu, Anqiang
9 Zhu, Xiaohua
8 Bamler, Richard H.
8 Cheng, Liang
8 Fang, Shouwen
8 Haslhofer, Robert
8 Rong, Xiaochun
8 Searle, Catherine
7 Carfora, Mauro
7 Colding, Tobias Holck
7 Fang, Fuquan
7 Guijarro, Luis
7 Honda, Shouhei
7 Ni, Lei
7 Sesum, Natasa
7 Ye, Rugang
7 Zheng, Yu
7 Zhu, Meng
6 Chaubey, Sudhakar Kumar
6 Deng, Yuxing
6 Hsu, Shu-Yu
6 Lackenby, Marc
6 Lee, Man-Chun
6 Mastrolia, Paolo
6 Philipowski, Robert
6 Suh, Young Jin
6 Topping, Peter Miles
6 Wei, Guofang
6 Wylie, William C.
6 Zhang, Liangdi
5 Besson, Gérard
5 Chen, Chih-Wei
5 Cho, Jong Taek
5 De, Uday Chand
5 Ghosh, Amalendu
5 Hall, Stuart James
5 Harvey, John Matthew
5 Hou, Songbo
5 Huang, Shaosai
5 Hui, Shyamal Kumar
5 Kapovitch, Vitali
5 Mantegazza, Carlo
5 Munn, Michael
5 Munteanu, Ovidiu
5 Petersen, Peter V
5 Sarkar, Avijit
5 Sinestrari, Carlo
5 Song, Jian
5 Tam, Luen-Fai
5 Yamaguchi, Takao
5 Yu, Chengjie
5 Zhang, Qi-Shuhuason
5 Zhang, Yuguang
4 Agol, Ian
4 Barbosa, Ezequiel R.
4 Cabezas-Rivas, Esther
4 Chen, Qiang
4 Huisken, Gerhard
4 Ishida, Masashi
4 Kimura, Makoto
4 Kleiner, Bruce
4 Lüst, Dieter
4 Lytchak, Alexander
4 Maillot, Sylvain
4 Minicozzi, William Philip II
4 Naber, Aaron C.
4 Ribeiro, Ernani jun.
4 Sharma, Ramesh
4 Shioya, Takashi
4 Thalmaier, Anton
4 Walschap, Gerard
4 Wang, Changliang
4 Wang, Jiaping
4 Wang, Yusheng
4 Wraith, David J.
4 Xu, Guoyi
4 Xu, Shicheng
4 Yang, Fei
...and 900 more Authors
all top 5

Cited in 227 Serials

69 The Journal of Geometric Analysis
52 Proceedings of the American Mathematical Society
35 Annals of Global Analysis and Geometry
35 Calculus of Variations and Partial Differential Equations
32 Advances in Mathematics
32 Geometriae Dedicata
31 Transactions of the American Mathematical Society
30 Mathematische Annalen
28 Journal of Geometry and Physics
24 Geometry & Topology
22 Inventiones Mathematicae
21 Journal of Functional Analysis
20 Differential Geometry and its Applications
19 Duke Mathematical Journal
16 Journal für die Reine und Angewandte Mathematik
16 Mathematische Zeitschrift
16 Science China. Mathematics
12 Communications in Mathematical Physics
12 Journal of Mathematical Analysis and Applications
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Manuscripta Mathematica
11 Geometric and Functional Analysis. GAFA
11 Algebraic & Geometric Topology
10 Journal of the American Mathematical Society
10 Journal of the European Mathematical Society (JEMS)
9 Nuclear Physics. B
9 Results in Mathematics
9 Acta Mathematica Sinica. English Series
9 Journal of High Energy Physics
9 Advances in Geometry
8 Archiv der Mathematik
8 Monatshefte für Mathematik
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Tohoku Mathematical Journal. Second Series
8 International Journal of Mathematics
8 Annals of Mathematics. Second Series
8 Frontiers of Mathematics in China
7 Communications on Pure and Applied Mathematics
7 Chinese Annals of Mathematics. Series B
7 Bulletin of the American Mathematical Society. New Series
7 Mediterranean Journal of Mathematics
6 Journal of Mathematical Physics
6 Journal of the Korean Mathematical Society
6 Topology and its Applications
6 Discrete & Computational Geometry
6 Annals of Physics
6 Communications of the Korean Mathematical Society
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Communications in Mathematics and Statistics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Bulletin of the Brazilian Mathematical Society. New Series
4 General Relativity and Gravitation
4 Letters in Mathematical Physics
4 Annales de l’Institut Fourier
4 Journal of Differential Equations
4 Journal of Geometry
4 Journal of the Mathematical Society of Japan
4 Osaka Journal of Mathematics
4 Russian Mathematics
4 Potential Analysis
4 Bulletin des Sciences Mathématiques
3 Archive for Rational Mechanics and Analysis
3 Classical and Quantum Gravity
3 Israel Journal of Mathematics
3 Mathematical Notes
3 Beiträge zur Algebra und Geometrie
3 Acta Mathematica
3 Bulletin of the London Mathematical Society
3 Proceedings of the Japan Academy. Series A
3 Revista Matemática Iberoamericana
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Mathematical Sciences (New York)
3 St. Petersburg Mathematical Journal
3 Conformal Geometry and Dynamics
3 Journal of Inequalities and Applications
3 Communications in Contemporary Mathematics
3 Journal of Evolution Equations
3 Journal of Topology
3 Japanese Journal of Mathematics. 3rd Series
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Bulletin of Mathematical Sciences
3 Analysis and Geometry in Metric Spaces
3 Korean Journal of Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 International Journal of Theoretical Physics
2 Mathematical Methods in the Applied Sciences
2 Reports on Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Ukrainian Mathematical Journal
2 Chaos, Solitons and Fractals
2 The Mathematical Intelligencer
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Canadian Mathematical Bulletin
2 Journal of Differential Geometry
2 Journal of Pure and Applied Algebra
2 Kodai Mathematical Journal
2 Kyungpook Mathematical Journal
2 Memoirs of the American Mathematical Society
2 Tokyo Journal of Mathematics
...and 127 more Serials
all top 5

Cited in 53 Fields

886 Differential geometry (53-XX)
225 Global analysis, analysis on manifolds (58-XX)
174 Partial differential equations (35-XX)
168 Manifolds and cell complexes (57-XX)
57 Relativity and gravitational theory (83-XX)
49 Several complex variables and analytic spaces (32-XX)
33 Quantum theory (81-XX)
27 Group theory and generalizations (20-XX)
26 Dynamical systems and ergodic theory (37-XX)
25 Calculus of variations and optimal control; optimization (49-XX)
24 Probability theory and stochastic processes (60-XX)
23 Convex and discrete geometry (52-XX)
20 Algebraic geometry (14-XX)
16 Geometry (51-XX)
15 Combinatorics (05-XX)
11 Functional analysis (46-XX)
10 General topology (54-XX)
9 Functions of a complex variable (30-XX)
9 Algebraic topology (55-XX)
8 Computer science (68-XX)
7 Topological groups, Lie groups (22-XX)
7 Potential theory (31-XX)
6 Real functions (26-XX)
5 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Measure and integration (28-XX)
5 Operator theory (47-XX)
5 Numerical analysis (65-XX)
5 Mechanics of particles and systems (70-XX)
4 Number theory (11-XX)
4 Mechanics of deformable solids (74-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Operations research, mathematical programming (90-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Ordinary differential equations (34-XX)
2 Approximations and expansions (41-XX)
2 Statistics (62-XX)
2 Fluid mechanics (76-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.