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Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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The Ricci Flow: Techniques and Applications - Part I: Geometric Aspects (Hardcover)
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The Ricci Flow: Techniques and Applications - Part I: Geometric Aspects (Hardcover)
Series: Mathematical Surveys and Monographs
Expected to ship within 12 - 17 working days
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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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