Differential Harnack inequalities and the Ricci flow
By: Retro Müller.
Series: EMS series of lectures in mathematics
Publisher: European Mathematical Society
Published: 2006
Place of publication: Zürich, Switzerland
Language: eng
Number of pages: 92
ISBN-13: 9783037190302
Subjects: Global differential geometry.; Ricci flow.; Differential equations, Partial.
Notes: Includes bibliographical references (p. [87]-88) and index.
Table of contents: title: Preface; title: Introduction; title: 1.  FOUNDATIONAL MATERIAL.  Riemannian metric and curvature tensors; title: Variation formulas; title: Einstein-Hilbert functional and Ricci flow; title: Evolution equations under Ricci flow; title: Adjoint heat equation and gradient solitons; title: 2.  DIFFERENTIAL HARNACK INEQUALITIES.  The Li-Yau Harnack inequality; title: Hamilton's matrix Harnack inequality; title: Harnack inequalities for the Ricci flow; title: 3.  ENTROPY FORMULAS.  The static case, part I; title: Entropy for steady Ricci solitons; title: The static case, part II; title: Entropy for shrinking solitons; title: Entropy for Ricci expanders; title: 4.  REDUCED DISTANCE AND REDUCED VOLUME.  The static case; title: Perelman's L-length and L-geodesic; title: Monotonicity of the reduced volume; title: Bibliography; title: List of symbols; title: Index.