Description

Book Synopsis
Ricci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifolds to better metrics in the search for geometric decompositions. With the fourth part of their volume on techniques and applications of the theory, the authors of this volume discuss long-time solutions of the Ricci flow and related topics.

Trade Review
This book concludes a long series of carefully written and extremely detailed textbooks on the Ricci flow, which have instantly become mandatory reading for any graduate student who is interested in doing research in this field. They are also an excellent resource for established researchers in this and neighboring fields." - Valentino Tosatti, Zentralblatt MATH

Table of Contents
  • Noncompact gradient Ricci solitons
  • Special ancient solutions
  • Compact 2-dimensional ancient solutions
  • Type I singularities and ancient solutions
  • Hyperbolic geometry and 3-manifolds
  • Nonsingular solutions on closed 3-manifolds
  • Noncompact hyperbolic limits
  • Constant mean curvature surfaces and harmonic maps by IFT
  • Stability of Ricci flow
  • Type II singularities and degenerate neckpinches
  • Implicit function theorem
  • Bibliography
  • Index

The Ricci Flow Techniques and Applications Part

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    A Hardback by Bennett Chow, Sun-Chin Chu, David Glickenstein

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      Book details

      Publisher American Mathematical Society
      Published 12/30/2015 12:00:00 AM
      ISBN-13 9780821849910
      978-0821849910
      ISBN-10 0821849913
      Also in:
      Differential calculus and equations

      Description

      Book Synopsis
      Ricci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifolds to better metrics in the search for geometric decompositions. With the fourth part of their volume on techniques and applications of the theory, the authors of this volume discuss long-time solutions of the Ricci flow and related topics.

      Trade Review
      This book concludes a long series of carefully written and extremely detailed textbooks on the Ricci flow, which have instantly become mandatory reading for any graduate student who is interested in doing research in this field. They are also an excellent resource for established researchers in this and neighboring fields." - Valentino Tosatti, Zentralblatt MATH

      Table of Contents
      • Noncompact gradient Ricci solitons
      • Special ancient solutions
      • Compact 2-dimensional ancient solutions
      • Type I singularities and ancient solutions
      • Hyperbolic geometry and 3-manifolds
      • Nonsingular solutions on closed 3-manifolds
      • Noncompact hyperbolic limits
      • Constant mean curvature surfaces and harmonic maps by IFT
      • Stability of Ricci flow
      • Type II singularities and degenerate neckpinches
      • Implicit function theorem
      • Bibliography
      • Index

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