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Hamilton, Richard Streit

Author ID: hamilton.richard-s Recent zbMATH articles by "Hamilton, Richard Streit"
Published as: Hamilton, Richard S.; Hamilton, Richard; Hamilton, R. S.; Hamilton, R.
Homepage: https://www.math.columbia.edu/people/directory/name/richard-hamilton/
External Links: MGP · Wikidata · GND · IdRef
Awards: Clay Research Award (2003) · Shaw Prize (2011)
Documents Indexed: 48 Publications since 1969, including 1 Book and 1 Additional arXiv Preprint
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 13 Co-Authors with 22 Joint Publications
702 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 4,805 times in 3,405 Documents Cited by Year
Three-manifolds with positive Ricci curvature. Zbl 0504.53034
Hamilton, Richard S.
1982
The Ricci flow on surfaces. Zbl 0663.53031
Hamilton, Richard S.
544
1988
The inverse function theorem of Nash and Moser. Zbl 0499.58003
Hamilton, Richard S.
503
1982
The formation of singularities in the Ricci flow. Zbl 0867.53030
Hamilton, Richard S.
417
1995
The heat equation shrinking convex plane curves. Zbl 0621.53001
Gage, M.; Hamilton, R. S.
394
1986
Four-manifolds with positive curvature operator. Zbl 0628.53042
Hamilton, Richard S.
272
1986
A matrix Harnack estimate for the heat equation. Zbl 0799.53048
Hamilton, Richard S.
201
1993
Harmonic maps of manifolds with boundary. Zbl 0308.35003
Hamilton, Richard S.
184
1975
The Harnack estimate for the Ricci flow. Zbl 0804.53023
Hamilton, Richard S.
151
1993
A compactness property for solutions of the Ricci flow. Zbl 0840.53029
Hamilton, Richard S.
124
1995
Harnack estimate for the mean curvature flow. Zbl 0827.53006
Hamilton, Richard S.
104
1995
Four-manifolds with positive isotropic curvature. Zbl 0892.53018
Hamilton, Richard S.
76
1997
Regularity of the free boundary for the porous medium equation. Zbl 0910.35145
Daskalopoulos, P.; Hamilton, R.
71
1998
A fixed point theorem for holomorphic mappings. Zbl 0205.14702
Earle, C. J.; Hamilton, R. S.
67
1970
Differential Harnack estimates for time-dependent heat equations with potentials. Zbl 1183.53059
Cao, Xiaodong; Hamilton, Richard S.
62
2009
Extremal quasiconformal mappings with prescribed boundary values. Zbl 0209.11102
Hamilton, R. S.
55
1969
Non-singular solutions of the Ricci flow on three-manifolds. Zbl 0939.53024
Hamilton, Richard S.
47
1999
On Riemannian metrics adapted to three-dimensional contact manifolds. Zbl 0561.53039
Chern, S. S.; Hamilton, R. S.
46
1985
Monotonicity formulas for parabolic flows on manifolds. Zbl 0779.58037
Hamilton, Richard S.
40
1993
Constrained and linear Harnack inequalities for parabolic equations. Zbl 0903.58054
Chow, Bennett; Hamilton, Richard S.
39
1997
Classification of compact ancient solutions to the curve shortening flow. Zbl 1205.53070
Daskalopoulos, Panagiota; Hamilton, Richard; Sesum, Natasa
38
2010
Eternal solutions to the Ricci flow. Zbl 0792.53041
Hamilton, Richard S.
33
1993
Classification of ancient compact solutions to the Ricci flow on surfaces. Zbl 1257.53095
Daskalopoulos, Panagiota; Hamilton, Richard; Sesum, Natasa
32
2012
Convex hypersurfaces with pinched second fundamental form. Zbl 0843.53002
Hamilton, Richard S.
22
1994
The Ricci curvature equation. Zbl 0557.53018
Hamilton, Richard
20
1984
Isoperimetric estimates for the curve shrinking flow in the plane. Zbl 0846.51010
Hamilton, Richard S.
20
1995
Deformation of complex structures on manifolds with boundary. I: The stable case. Zbl 0394.32010
Hamilton, Richard S.
19
1977
All time \(C^\infty\)-regularity of the interface in degenerate diffusion: A geometric approach. Zbl 1017.35052
Daskalopoulos, P.; Hamilton, R.; Lee, K.
17
2001
The free boundary in the Gauss curvature flow with flat sides. Zbl 0931.53031
Daskalopoulos, P.; Hamilton, R.
17
1999
The cross curvature flow of 3-manifolds with negative sectional curvature. Zbl 1064.53045
Chow, Bennett; Hamilton, Richard S.
14
2004
The formation of singularities in the harmonic map heat flow. Zbl 0872.58021
Grayson, Matthew; Hamilton, Richard S.
14
1996
Geometric estimates for the logarithmic fast diffusion equation. Zbl 1070.53041
Daskalopoulos, P.; Hamilton, R.
13
2004
Li-Yau estimates and their Harnack inequalities. Zbl 1263.58007
Hamilton, Richard S.
12
2011
An isoperimetric estimate for the Ricci flow on the two-sphere. Zbl 0852.58027
Hamilton, Richard S.
11
1995
Deformation of complex structures on manifolds with boundary. II: Families of non-coercive boundary value problems. Zbl 0512.32015
Hamilton, Richard S.
8
1979
Gradient Kähler-Ricci solitons and periodic orbits. Zbl 1027.53074
Cao, Huai-Dong; Hamilton, Richard S.
8
2000
Remarks on the entropy and Harnack estimates for the Gauss curvature flow. Zbl 0839.53050
Hamilton, Richard S.
7
1994
Quasi-convergence of Ricci flow for a class of metrics. Zbl 0841.53058
Hamilton, Richard; Isenberg, James
7
1993
Worn stones with flat sides. Zbl 0882.52002
Hamilton, Richard S.
7
1994
The free boundary for the \(N\)-dimensional porous medium equation. Zbl 0886.35114
Daskalopoulos, P.; Hamilton, R.
7
1997
\(C^{\infty}\)-regularity of the interface of the evolution \(p\)-Laplacian equation. Zbl 0929.35071
Daskalopoulos, Panagiota; Hamilton, Richard
5
1998
Deformation of complex structures on manifolds with boundary. II: Families of non-coercive boundary value problems. Zbl 0474.58020
Hamilton, Richard S.
4
1979
The Harnack estimate for the Ricci flow on a surface – revisited. Zbl 0894.53041
Hamilton, Richard S.; Yau, Shing-Tung
3
1997
Properties of the solutions of the conjugate heat equations. Zbl 1160.53019
Hamilton, Richard; Sesum, Natasa
3
2009
Non-hyperelliptic Riemann surfaces. Zbl 0207.07901
Hamilton, R. S.
2
1969
Harmonic mean curvature flow on surfaces of negative Gaussian curvature. Zbl 1127.53058
Daskalopoulos, Panagiota; Hamilton, Richard
2
2006
Classification of ancient compact solutions to the Ricci flow on surfaces. Zbl 1257.53095
Daskalopoulos, Panagiota; Hamilton, Richard; Sesum, Natasa
32
2012
Li-Yau estimates and their Harnack inequalities. Zbl 1263.58007
Hamilton, Richard S.
12
2011
Classification of compact ancient solutions to the curve shortening flow. Zbl 1205.53070
Daskalopoulos, Panagiota; Hamilton, Richard; Sesum, Natasa
38
2010
Differential Harnack estimates for time-dependent heat equations with potentials. Zbl 1183.53059
Cao, Xiaodong; Hamilton, Richard S.
62
2009
Properties of the solutions of the conjugate heat equations. Zbl 1160.53019
Hamilton, Richard; Sesum, Natasa
3
2009
Harmonic mean curvature flow on surfaces of negative Gaussian curvature. Zbl 1127.53058
Daskalopoulos, Panagiota; Hamilton, Richard
2
2006
The cross curvature flow of 3-manifolds with negative sectional curvature. Zbl 1064.53045
Chow, Bennett; Hamilton, Richard S.
14
2004
Geometric estimates for the logarithmic fast diffusion equation. Zbl 1070.53041
Daskalopoulos, P.; Hamilton, R.
13
2004
All time \(C^\infty\)-regularity of the interface in degenerate diffusion: A geometric approach. Zbl 1017.35052
Daskalopoulos, P.; Hamilton, R.; Lee, K.
17
2001
Gradient Kähler-Ricci solitons and periodic orbits. Zbl 1027.53074
Cao, Huai-Dong; Hamilton, Richard S.
8
2000
Non-singular solutions of the Ricci flow on three-manifolds. Zbl 0939.53024
Hamilton, Richard S.
47
1999
The free boundary in the Gauss curvature flow with flat sides. Zbl 0931.53031
Daskalopoulos, P.; Hamilton, R.
17
1999
Regularity of the free boundary for the porous medium equation. Zbl 0910.35145
Daskalopoulos, P.; Hamilton, R.
71
1998
\(C^{\infty}\)-regularity of the interface of the evolution \(p\)-Laplacian equation. Zbl 0929.35071
Daskalopoulos, Panagiota; Hamilton, Richard
5
1998
Four-manifolds with positive isotropic curvature. Zbl 0892.53018
Hamilton, Richard S.
76
1997
Constrained and linear Harnack inequalities for parabolic equations. Zbl 0903.58054
Chow, Bennett; Hamilton, Richard S.
39
1997
The free boundary for the \(N\)-dimensional porous medium equation. Zbl 0886.35114
Daskalopoulos, P.; Hamilton, R.
7
1997
The Harnack estimate for the Ricci flow on a surface – revisited. Zbl 0894.53041
Hamilton, Richard S.; Yau, Shing-Tung
3
1997
The formation of singularities in the harmonic map heat flow. Zbl 0872.58021
Grayson, Matthew; Hamilton, Richard S.
14
1996
The formation of singularities in the Ricci flow. Zbl 0867.53030
Hamilton, Richard S.
417
1995
A compactness property for solutions of the Ricci flow. Zbl 0840.53029
Hamilton, Richard S.
124
1995
Harnack estimate for the mean curvature flow. Zbl 0827.53006
Hamilton, Richard S.
104
1995
Isoperimetric estimates for the curve shrinking flow in the plane. Zbl 0846.51010
Hamilton, Richard S.
20
1995
An isoperimetric estimate for the Ricci flow on the two-sphere. Zbl 0852.58027
Hamilton, Richard S.
11
1995
Convex hypersurfaces with pinched second fundamental form. Zbl 0843.53002
Hamilton, Richard S.
22
1994
Remarks on the entropy and Harnack estimates for the Gauss curvature flow. Zbl 0839.53050
Hamilton, Richard S.
7
1994
Worn stones with flat sides. Zbl 0882.52002
Hamilton, Richard S.
7
1994
A matrix Harnack estimate for the heat equation. Zbl 0799.53048
Hamilton, Richard S.
201
1993
The Harnack estimate for the Ricci flow. Zbl 0804.53023
Hamilton, Richard S.
151
1993
Monotonicity formulas for parabolic flows on manifolds. Zbl 0779.58037
Hamilton, Richard S.
40
1993
Eternal solutions to the Ricci flow. Zbl 0792.53041
Hamilton, Richard S.
33
1993
Quasi-convergence of Ricci flow for a class of metrics. Zbl 0841.53058
Hamilton, Richard; Isenberg, James
7
1993
The Ricci flow on surfaces. Zbl 0663.53031
Hamilton, Richard S.
544
1988
The heat equation shrinking convex plane curves. Zbl 0621.53001
Gage, M.; Hamilton, R. S.
394
1986
Four-manifolds with positive curvature operator. Zbl 0628.53042
Hamilton, Richard S.
272
1986
On Riemannian metrics adapted to three-dimensional contact manifolds. Zbl 0561.53039
Chern, S. S.; Hamilton, R. S.
46
1985
The Ricci curvature equation. Zbl 0557.53018
Hamilton, Richard
20
1984
Three-manifolds with positive Ricci curvature. Zbl 0504.53034
Hamilton, Richard S.
1982
The inverse function theorem of Nash and Moser. Zbl 0499.58003
Hamilton, Richard S.
503
1982
Deformation of complex structures on manifolds with boundary. II: Families of non-coercive boundary value problems. Zbl 0512.32015
Hamilton, Richard S.
8
1979
Deformation of complex structures on manifolds with boundary. II: Families of non-coercive boundary value problems. Zbl 0474.58020
Hamilton, Richard S.
4
1979
Deformation of complex structures on manifolds with boundary. I: The stable case. Zbl 0394.32010
Hamilton, Richard S.
19
1977
Harmonic maps of manifolds with boundary. Zbl 0308.35003
Hamilton, Richard S.
184
1975
A fixed point theorem for holomorphic mappings. Zbl 0205.14702
Earle, C. J.; Hamilton, R. S.
67
1970
Extremal quasiconformal mappings with prescribed boundary values. Zbl 0209.11102
Hamilton, R. S.
55
1969
Non-hyperelliptic Riemann surfaces. Zbl 0207.07901
Hamilton, R. S.
2
1969
all top 5

Cited by 2,869 Authors

35 Wu, Jiayong
33 Ma, Li
30 Azami, Shahroud
30 Chaubey, Sudhakar Kumar
30 De, Uday Chand
27 Brendle, Simon
22 Daskalopoulos, Panagiota
21 Cao, Huai-Dong
20 Chow, Bennett
20 Tsai, Dong-Ho
19 Bhattacharyya, Arindam
19 Blaga, Adara-Monica
19 Streets, Jeffrey D.
18 Abolarinwa, Abimbola
18 Suh, Young Jin
17 Cao, Xiaodong
17 Šešum, Nataša
17 Tian, Gang
17 Zhang, Yongjia
16 Chen, Xiuxiong
16 Haslhofer, Robert
16 Lee, Ki-Ahm
16 Venkatesha, Venkatesha
16 Wang, Xiaoliu
15 Bamler, Richard H.
15 Glöckner, Helge
14 Catino, Giovanni
14 Dey, Santu
14 Hui, Shyamal Kumar
14 Neeb, Karl-Hermann
14 Perrone, Domenico
14 Vacaru, Sergiu Ion
14 Zhu, Xiaohua
13 Cheng, Liang
13 Cunha, Antonio Wilson
13 Guo, Hongxin
13 Jost, Jürgen
13 Mantegazza, Carlo
13 Ni, Lei
13 Topping, Peter Miles
13 Wang, Bing
13 Wheeler, Glen E.
13 Zhu, Anqiang
12 Langford, Mat
12 Novaga, Matteo
12 Poppenberg, Markus
12 Reich, Simeon
12 Siddiqi, Mohd Danish
12 Yang, Yunlong
11 Ali, Akram
11 Andrews, Ben
11 Angenent, Sigurd Bernardus
11 De, Krishnendu
11 Feehan, Paul M. N.
11 Kolev, Boris
11 Yadav, Sunil Kumar
11 Lu, Peng
11 Pan, Shengliang
11 Wei, Yong
11 Zhang, Liangdi
11 Zhang, Xi
10 Haseeb, Abdul
10 McCoy, James Alexander
10 Naik, Devaraja Mallesha
10 Petersen, Peter V
10 Pulemotov, Artem
10 Simon, Miles
10 Sinestrari, Carlo
10 Smoczyk, Knut
10 Zhang, Qi-Shuhuason
10 Zhang, Zhou
9 Bourni, Theodora
9 Calvaruso, Giovanni
9 Colding, Tobias Holck
9 Deng, Yuxing
9 Gu, Xianfeng David
9 Ho, Pak Tung
9 Huang, Guangyue
9 Korpinar, Talat
9 Kumara, Huchchappa Aruna
9 Li, Yi
9 Lott, John
9 Lüst, Dieter
9 Modin, Klas
9 Prasad, Rajendra
9 Qu, Changzheng
9 Ramandi, Ghodratallah Fasihi
9 Rejzner, Katarzyna
9 Shaikh, Absos Ali
9 Song, Jian
9 Sun, Jun
9 Tam, Luen-Fai
9 Vazquez, Juan Luis
9 Wu, Guoqiang
9 Yau, Shing-Tung
9 Zeng, Fanqi
9 Zhang, Yuguang
9 Zhu, Miaomiao
8 Chan, Pak-Yeung
8 Chen, Qun
...and 2,769 more Authors
all top 5

Cited in 436 Serials

153 The Journal of Geometric Analysis
124 Calculus of Variations and Partial Differential Equations
109 Proceedings of the American Mathematical Society
93 Journal of Geometry and Physics
91 Journal of Mathematical Analysis and Applications
84 Advances in Mathematics
84 Transactions of the American Mathematical Society
75 Journal of Differential Equations
73 Journal of Functional Analysis
72 Mathematische Annalen
67 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
67 Annals of Global Analysis and Geometry
61 Mathematische Zeitschrift
54 Differential Geometry and its Applications
50 Inventiones Mathematicae
47 Communications in Mathematical Physics
43 Journal für die Reine und Angewandte Mathematik
42 International Journal of Geometric Methods in Modern Physics
33 Geometriae Dedicata
33 Geometry & Topology
31 Manuscripta Mathematica
30 International Journal of Mathematics
29 Duke Mathematical Journal
29 Bulletin of the American Mathematical Society. New Series
28 Communications in Partial Differential Equations
26 Journal of Mathematical Physics
26 Results in Mathematics
25 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Journal of the American Mathematical Society
23 Archive for Rational Mechanics and Analysis
23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 Acta Mathematica Sinica. English Series
23 Science China. Mathematics
21 Comptes Rendus. Mathématique. Académie des Sciences, Paris
20 Communications on Pure and Applied Mathematics
20 Communications of the Korean Mathematical Society
20 Mediterranean Journal of Mathematics
18 Chinese Annals of Mathematics. Series B
18 Journal of the European Mathematical Society (JEMS)
17 Geometric and Functional Analysis. GAFA
16 Archiv der Mathematik
16 Discrete and Continuous Dynamical Systems
15 Journal of Geometry
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Journal of Mathematical Sciences (New York)
15 Communications in Contemporary Mathematics
14 Journal of Computational Physics
14 Mathematische Nachrichten
14 Pacific Journal of Mathematics
14 Balkan Journal of Geometry and its Applications (BJGA)
14 Annals of Mathematics. Second Series
14 Journal of High Energy Physics
14 Journal of Evolution Equations
14 Nonlinear Analysis. Theory, Methods & Applications
13 Monatshefte für Mathematik
13 Tôhoku Mathematical Journal. Second Series
13 Journal of Nonlinear Mathematical Physics
13 Frontiers of Mathematics in China
12 Kyungpook Mathematical Journal
12 DGDS. Differential Geometry – Dynamical Systems
11 Journal of the Korean Mathematical Society
11 Turkish Journal of Mathematics
11 Filomat
11 Communications on Pure and Applied Analysis
11 Afrika Matematika
10 Israel Journal of Mathematics
10 Bulletin of the Korean Mathematical Society
10 Advances in Mathematical Physics
9 Mathematical Methods in the Applied Sciences
9 Annales de l’Institut Fourier
9 Journal of Differential Geometry
9 Kodai Mathematical Journal
9 Siberian Mathematical Journal
9 Facta Universitatis. Series Mathematics and Informatics
9 Science in China. Series A
9 Potential Analysis
9 Boletim da Sociedade Paranaense de Matemática. Terceira Série
9 Analysis & PDE
8 Journal d’Analyse Mathématique
8 Letters in Mathematical Physics
8 Mathematical Notes
8 Nuclear Physics. B
8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
8 Gaṇita
8 Journal of the London Mathematical Society. Second Series
8 Japan Journal of Industrial and Applied Mathematics
8 NoDEA. Nonlinear Differential Equations and Applications
8 Bulletin des Sciences Mathématiques
8 Advances in Geometry
8 International Electronic Journal of Geometry
8 Asian-European Journal of Mathematics
8 Palestine Journal of Mathematics
8 Communications in Mathematics and Statistics
8 Korean Journal of Mathematics
7 Classical and Quantum Gravity
7 Rocky Mountain Journal of Mathematics
7 Reviews in Mathematical Physics
7 Acta Mathematica
7 Memoirs of the American Mathematical Society
7 Acta Applicandae Mathematicae
...and 336 more Serials
all top 5

Cited in 57 Fields

2,322 Differential geometry (53-XX)
1,075 Partial differential equations (35-XX)
823 Global analysis, analysis on manifolds (58-XX)
205 Several complex variables and analytic spaces (32-XX)
134 Manifolds and cell complexes (57-XX)
126 Dynamical systems and ergodic theory (37-XX)
109 Quantum theory (81-XX)
108 Functional analysis (46-XX)
104 Relativity and gravitational theory (83-XX)
96 Functions of a complex variable (30-XX)
88 Topological groups, Lie groups (22-XX)
82 Fluid mechanics (76-XX)
77 Operator theory (47-XX)
73 Calculus of variations and optimal control; optimization (49-XX)
73 Probability theory and stochastic processes (60-XX)
70 Numerical analysis (65-XX)
69 Convex and discrete geometry (52-XX)
58 Algebraic geometry (14-XX)
41 Ordinary differential equations (34-XX)
35 Nonassociative rings and algebras (17-XX)
34 Computer science (68-XX)
34 Mechanics of particles and systems (70-XX)
31 Potential theory (31-XX)
31 Algebraic topology (55-XX)
28 Mechanics of deformable solids (74-XX)
27 Statistical mechanics, structure of matter (82-XX)
20 Real functions (26-XX)
18 General topology (54-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Biology and other natural sciences (92-XX)
15 Difference and functional equations (39-XX)
13 Geometry (51-XX)
12 General and overarching topics; collections (00-XX)
12 Classical thermodynamics, heat transfer (80-XX)
11 Category theory; homological algebra (18-XX)
10 Combinatorics (05-XX)
10 Systems theory; control (93-XX)
10 Information and communication theory, circuits (94-XX)
9 Measure and integration (28-XX)
9 Statistics (62-XX)
8 History and biography (01-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Group theory and generalizations (20-XX)
7 Number theory (11-XX)
7 Operations research, mathematical programming (90-XX)
6 Approximations and expansions (41-XX)
6 Astronomy and astrophysics (85-XX)
5 Associative rings and algebras (16-XX)
4 Mathematical logic and foundations (03-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Optics, electromagnetic theory (78-XX)
3 \(K\)-theory (19-XX)
2 Special functions (33-XX)
2 Geophysics (86-XX)
1 Commutative algebra (13-XX)
1 Integral equations (45-XX)
1 Mathematics education (97-XX)

Citations by Year

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