This book gives a presentation of topics in Hamilton's Ricci flow for graduate students and mathematicians interested in working in the subject. The authors have aimed at presenting technical material in a clear and detailed manner. In this volume, geometric aspects of the theory have been emphasized. The book presents the theory of Ricci solitons, Kahler-Ricci flow, compactness theorems, Perelman's entropy monotonicity and no local collapsing, Perelman's reduced distance function and applications to ancient solutions, and a primer of 3-manifold topology. Various technical aspects of Ricci flow have been explained in a clear and detailed manner. The authors have tried to make some advanced material accessible to graduate students and nonexperts. The book gives a rigorous introduction to Perelman's work and explains technical aspects of Ricci flow useful for singularity analysis. Throughout, there are appropriate references so that the reader may further pursue the statements and proofs of the variou
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978-0-8218-3946-1 (9780821839461)
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Schweitzer Klassifikation
Ricci solitons Kahler-Ricci flow and Kahler-Ricci solitons The compactness theorem for Ricci flow Proof of the compactness theorem Energy, monotonicity, and breathers Entropy and no local collapsing The reduced distance Applications of the reduced distance Basic topology of 3-manifolds Basic Ricci flow theory Other apsects of Ricci flow and related flows Glossary Bibliography Index.
