Description
Book SynopsisRicci 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 ReviewThis 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 MATHTable 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
