Description

Book Synopsis
Gives a rigorous introduction to some of Perelman's work and explains some technical aspects of Ricci flow useful for singularity analysis. The authors have also attempted to give the appropriate references so that the reader may further pursue the statements and proofs of the various results.

Table of Contents
Weak maximum principles for scalars, tensors, and systems Closed manifolds with positive curvature Weak and strong maximum principles on noncompact manifolds Qualitative behavior of classes of solutions Local derivative of curvature estimates Differential Harnack estimates of LYH-type Perelman's differential Harnack estimate An overview of aspects of Ricci flow Aspects of geometric analysis related to Ricci flow Tensor calculus on the frame bundle Bibliography Index.

The Ricci Flow Techniques and Applications

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    A Hardback by Bennett Chow

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      Book details

      Publisher American Mathematical Society
      Published 12/30/2007 12:00:00 AM
      ISBN-13 9780821844298
      978-0821844298
      ISBN-10 0821844296

      Description

      Book Synopsis
      Gives a rigorous introduction to some of Perelman's work and explains some technical aspects of Ricci flow useful for singularity analysis. The authors have also attempted to give the appropriate references so that the reader may further pursue the statements and proofs of the various results.

      Table of Contents
      Weak maximum principles for scalars, tensors, and systems Closed manifolds with positive curvature Weak and strong maximum principles on noncompact manifolds Qualitative behavior of classes of solutions Local derivative of curvature estimates Differential Harnack estimates of LYH-type Perelman's differential Harnack estimate An overview of aspects of Ricci flow Aspects of geometric analysis related to Ricci flow Tensor calculus on the frame bundle Bibliography Index.

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