Convergence of riemannian manifolds with integral bounds on curvature. I
Deane Yang (1992)
Annales scientifiques de l'École Normale Supérieure
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Deane Yang (1992)
Annales scientifiques de l'École Normale Supérieure
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Deane Yang (1987-1988)
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J. Bartz, M. Struwe, R. Ye (1994)
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Tapia, Victor (2009)
Revista Colombiana de Matemáticas
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Rubinstein, J.Hyam, Sinclair, Robert (2005)
Experimental Mathematics
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Sylvain Maillot (2006-2007)
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Stefan Peters (1987)
Compositio Mathematica
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Esther Cabezas-Rivas, Burkhard Wilking (2015)
Journal of the European Mathematical Society
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We prove short time existence for the Ricci flow on open manifolds of non-negative complex sectional curvature without requiring upper curvature bounds. By considering the doubling of convex sets contained in a Cheeger–Gromoll convex exhaustion and solving the singular initial value problem for the Ricci flow on these closed manifolds, we obtain a sequence of closed solutions of the Ricci flow with non-negative complex sectional curvature which subconverge to a Ricci flow on the open...
Joan Porti (2008)
RACSAM
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This is a survey about Thurston’s geometrization conjecture of three manifolds and Perelman’s proof with the Ricci flow. In particular we review the essential contribution of Hamilton as well as some results in topology relevants for the proof.