The Ricci Flow: Techniques and Applications

Part II: Analytical Aspects

Bennett Chow (Autor)

Buch | Hardcover

458 Seiten

2007
American Mathematical Society (Verlag)
978-0-8218-4429-8 (ISBN)

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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.

Geometric analysis has become one of the most important tools in geometry and topology. In their books on the Ricci flow, the authors reveal the depth and breadth of this flow method for understanding the structure of manifolds. With the present book, the authors focus on the analytic aspects of Ricci flow.

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.

Erscheint lt. Verlag	25.11.2008
Reihe/Serie	Mathematical Surveys and Monographs
Verlagsort	Providence
Sprache	englisch
Gewicht	1030 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-4429-6 / 0821844296
ISBN-13	978-0-8218-4429-8 / 9780821844298
Zustand	Neuware