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9780821846612

The Ricci Flow: Techniques and Applications

by ; ; ; ;
  • ISBN13:

    9780821846612

  • ISBN10:

    0821846612

  • Format: Hardcover
  • Copyright: 2010-06-11
  • Publisher: Amer Mathematical Society

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Summary

Entropy, $\mu$-invariant, and finite time singularities Geometric tools and point picking methods Geometric properties of $\kappa$-solutions Compactness of the space of $\kappa$-solutions Perelman's pseudolocality theorem Tools used in proof of pseudolocality Heat kernel for static metrics Heat kernel for evolving metrics Estimates of the heat equation for evolving metrics Bounds for the heat kernel for evolving metrics Elementary aspects of metric geometry Convex functions on Riemannian manifolds Asymptotic cones and Sharafutdinov retraction Solutions to selected exercises Bibliography Index

Table of Contents

Geometric-Analytic Aspects
Entropy, $\mu$-invariant, and finite time singularities
Geometric tools and point picking methods
Geometric properties of $\kappa$-solutions
Compactness of the space of $\kappa$-solutions
Perelman's pseudolocality theorem
Tools used in proof of pseudolocality
Heat kernel for static metrics
Heat kernel for evolving metrics
Estimates of the heat equation for evolving metrics
Bounds for the heat kernel for evolving metrics
Elementary aspects of metric geometry
Convex functions on Riemannian manifolds
Asymptotic cones and Sharafutdinov retraction
Solutions to selected exercises
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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