Notes on Perelman's papers

These are detailed notes on Perelman's papers "The entropy formula for the Ricci flow and its geometric applications" and "Ricci flow with surgery on three-manifolds".

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[3]  Wan-Xiong Shi.  Ricci deformation of the metric on complete noncompact Riemannian manifolds , 1989 .

[4]  J. Morgan,et al.  Recent progress on the Poincaré conjecture and the classification of 3-manifolds , 2004 .

[5]  Lei Ni.  A Note on Perelman's Li-Yau-Hamilton Inequality , 2006 .

[6]  B. Chow,et al.  The Ricci Flow : An Introduction I , 2013 .

[7]  On the l-Function and the Reduced volume of Perelman II , 2006, math/0609320.

[8]  Scalar curvature and the existence of geometric structures on 3-manifolds, II , 2002, math/0202030.

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[10]  Canonical metrics on 3-manifolds and 4-manifolds , 2005, math/0511034.

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[21]  Volume collapsed three-manifolds with a lower curvature bound , 2003, math/0304472.

[22]  Some gradient estimates for the heat equation on domains and for an equation by Perelman , 2006, math/0605518.

[23]  V. Kapovitch.  Perelman???s Stability Theorem , 2007, math/0703002.

[24]  P. Topping.  Lectures on the Ricci Flow , 2006 .

[25]  A pinching estimate for solutions of the linearized Ricci flow system on 3-manifolds , 2002, math/0211210.

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[28]  Huai-Dong Cao,et al.  A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow , 2006 .

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[33]  RECENT DEVELOPMENTS ON THE RICCI FLOW , 1998, math/9811123.

[34]  G. Perelman.  Finite extinction time for the solutions to the Ricci flow on certain three-manifolds , 2003, math/0307245.

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[36]  Wan-Xiong Shi.  Complete noncompact three-manifolds with nonnegative Ricci curvature , 1989 .

[37]  R. Hamilton.  Four-manifolds with positive isotropic curvature , 1997 .

[38]  G. Perelman.  The entropy formula for the Ricci flow and its geometric applications , 2002, math/0211159.

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[41]  Sergei Matveev,et al.  Algorithmic Topology and Classification of 3-Manifolds , 2003 .

[42]  G. Perelman.  Ricci flow with surgery on three-manifolds , 2003, math/0303109.

[43]  Local convexity and nonnegative curvature —Gromov's proof of the sphere theorem , 1986 .

[44]  Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman , 2003, math/0308090.

[45]  Gopal Prasad.  Strong rigidity ofQ-rank 1 lattices , 1973 .

[46]  R. Hamilton.  A Compactness Property for Solutions of the Ricci Flow , 1995 .

[47]  Ni Lei.  A note on Perelman’s LYH inequality , 2008 .

[48]  Wan-Xiong Shi.  Deforming the metric on complete Riemannian manifolds , 1989 .

[49]  Christine Guenther,et al.  The fundamental solution on manifolds with time-dependent metrics , 2002 .

[50]  William Beckner,et al.  Geometric asymptotics and the logarithmic Sobolev inequality , 1999 .

[51]  R. Hamilton,et al.  The formations of singularities in the Ricci Flow , 1993 .

[52]  T. Colding,et al.  Width and finite extinction time of Ricci flow , 2007, 0707.0108.

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[61]  Precise asymptotics of the Ricci flow neckpinch , 2005, math/0511247.

[62]  Uniqueness of the Ricci flow on complete noncompact manifolds , 2005, math/0505447.

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