Differential Harnack inequalities and the Ricci flow

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"The text is a self-contained, modern introduction to the Ricci flow and the analytic methods to study it. It is primarily addressed to students who have a basic introductory knowledge of analysis and of Riemannian geometry and who are attracted to further study in geometric analysis. No previous knowledge of differential Harnack inequalities or the Ricci flow is required."--BOOK JACKET.

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Title Statements

Full title :Differential Harnack inequalities and the Ricci flow / Retro Müller.

Summary

Edition Statements

Publication Date:2006.

Publication Statements

Publisher(s):European Mathematical Society
Place of Publication:Zürich, Switzerland
Language:eng
Publication Date:2006.

The Physical Object

Description:vi, 92 pages ; : 25 cm.

Edition Identifiers

ISBN:9783037190302, 3037190302
oclc:ocm76941925
LC Classification:QA670
Dewey Decimal:516.362

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 -- Differential Harnack inequalities: The Li-Yau Harnack inequality ; Hamilton's matrix Harnack inequality ; Harnack inequalities for the Ricci flow -- 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 -- Reduced distance and reduced volume: The static case ; Perelman's L-length and L-geodesic ; Monotonicity of the reduced volume.

Subjects

Differential Equations, Partial Differential inequalities Équation de la chaleur Équations aux dérivées partielles Flot de Ricci Géométrie différentielle globale Global differential geometry Harnack-Ungleichung Harnack-Ungleichung -- Ricci-Fluss Heat equation Inégalités différentielles Ricci flow Ricci-Fluss Ricci-Fluss -- Harnack-Ungleichung