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Introduction
The entropy formula for the Ricci flow
and its geometric applications
Grisha Perelman
1
Introduction
Ricci flow as a gradient flow
No breathers theorem I
No breathers theorem II
No local collapsing theorem I
A statistical analogy
Riemannian formalism in potentially infinite dimensions
A comparison geometry approach to the Ricci flow
No local collapsing theorem II
Differential Harnack inequality for solutions of the conjugate heat equation
Pseudolocality theorem
Ancient solutions with nonnegative curvature operator and bounded entropy
Almost nonnegative curvature in dimension three
The global picture of the Ricci flow in dimension three
References
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