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Sobolev inequalities, heat kernels under Ricci flow, and the Poincaré conjecture /

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Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, "Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture" introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel...

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Bibliographic Details
Main Author: Zhang, Qi S. (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : CRC Press, [2011].
Subjects:
Inequalities (Mathematics)
Sobolev spaces.
Ricci flow.
Poincaré conjecture.
Inégalités (Mathématiques)
Espaces de Sobolev.
Flot de Ricci.
Conjecture de Poincaré.
MATHEMATICS > Algebra > Elementary.
Poincaré conjecture
Ricci flow
Sobolev spaces
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, "Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture" introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel estimates to study Ricci flows, especially with surgeries. The author explains key ideas, difficult proofs, and important applications in a succinct, accessible, and unified manner. The book first discusses Sobolev inequalities in various settings, including the Euclidean case, the Riemannian case.
Physical Description:1 online resource (x, 422 pages)
Bibliography:Includes bibliographical references (pages 409-419) and index.
ISBN:9780429151804
0429151802