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1
Differential Harnack inequalities and the Ricci flow
2006, European Mathematical Society
in English
3037190302 9783037190302
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Book Details
Table of Contents
Preface
Introduction
1. FOUNDATIONAL MATERIAL. Riemannian metric and curvature tensors
Variation formulas
Einstein-Hilbert functional and Ricci flow
Evolution equations under Ricci flow
Adjoint heat equation and gradient solitons
2. DIFFERENTIAL HARNACK INEQUALITIES. The Li-Yau Harnack inequality
Hamilton's matrix Harnack inequality
Harnack inequalities for the Ricci flow
3. ENTROPY FORMULAS. The static case, part I
Entropy for steady Ricci solitons
The static case, part II
Entropy for shrinking solitons
Entropy for Ricci expanders
4. REDUCED DISTANCE AND REDUCED VOLUME. The static case
Perelman's L-length and L-geodesic
Monotonicity of the reduced volume
Bibliography
List of symbols
Index.
Edition Notes
Includes bibliographical references (p. [87]-88) and index.
Classifications
The Physical Object
ID Numbers
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