Ricci flow and the Poincaré conjecture

DMCA

Ricci flow and the Poincaré conjecture (2007)

Cached

Download Links

by John W. Morgan, Gang Tian

Citations:

127 - 2 self

Citations

1807	Algebraic topology - Hatcher - 2002
938	The entropy formula for the Ricci flow and its geometric applications”, math/0211159 - Perelman - 2002
735	Three-manifolds with positive Ricci curvature - Hamilton
447	Ricci flow with surgery on three-manifolds”, arXiv:math/0303109 - Perelman
311	On the parabolic kernel of the Schrödinger operator - Li, Yau - 1986
281	The inverse function theorem of Nash and - Hamilton - 1982
255	Four-manifolds with positive curvature operator - Hamilton
237	Finite extinction time for the solutions to the Ricci flow on certain threemanifolds - Perelman
207	The Ricci flow on surfaces - Hamilton
202	The Existence of Minimal Immersions of 2-Spheres - Sacks, Uhlenbeck - 1981
197	The formation of singularities in the Ricci flow. - Hamilton - 1995
165	Positive scalar curvature and the Dirac operator on complete Riemannian manifolds, - Gromov, Lawson - 1983
125	The Harnack estimate for the Ricci flow. - Hamilton - 1993
105	Two-dimensional geometric variational problems - Jost - 1986
96	Ricci solitons on compact three–manifolds, - Ivey - 1993
91	A compactness property for solutions of the Ricci flow. - Hamilton - 1995
87	Non-singular solutions of the Ricci flow on three-manifolds - Hamilton - 1999
80	Four manifolds with positive isotropic curvature - Hamilton - 1997
61	Ural ′ ceva, Linear and quasilinear equations of parabolic type, Translated from the Russian by S - Ladyˇzenskaja, Solonnikov, et al. - 1967
56	On complete open manifolds of positive curvature, - Gromoll, Meyer - 1969
50	The problem of Plateau on a Riemannian manifold - Morrey - 1948
50	Cinquieme complement a l’analysis situs, - Poincare - 1904
47	Lipschitz convergence of Riemannian manifolds - Greene, Wu - 1988
46	The heat equation and harmonic maps of complete manifolds - Li, Tam
41	Convergence of Riemannian manifolds - Peters - 1987
35	Towards the Poincare conjecture and the classification of 3–manifolds, - Milnor - 2003
32	Boundary regularity and embedded solutions for the oriented Plateau problem - Hardt, Simon - 1979
21	Perelman’s stability theorem - Kapovitch
18	On boundary branch points of minimizing surfaces. - Gulliver, Lesley - 1973
17	Boundary behavior of minimal surfaces. - Hildebrandt - 1969
11	Riemannian geometry, volume 149 of Translations of Mathematical Monographs - Sakai - 1996
7	Locally collapsed 3-manifolds - Kleiner, Lott - 2010
5	Uniqueness of standard solutions in the work of perelman, available at http://math.berkeley.edu/~lott/ricciflow/StanUniqWork2.pdf - Lu, Tian
3	Completion of Perelman’s proof of the geometrization conjecture”, preprint - Morgan, Tian - 809
2	Riemannian geometry. Second edition, volume 171 ofGraduate Texts in Mathematics - Petersen - 2006
1	Structures métricques pour les variétés riemanniennes, volume 1 of Textes mathématiques. CEDIC/Fernand - Gromov - 1981