Analytic aspects
著者
書誌事項
Analytic aspects
(Mathematical surveys and monographs, v. 144 . The Ricci flow : techniques and applications ; pt. 2)
American Mathematical Society, c2008
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注記
Other authors: Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg, Tom Ivey, Dan Knopf, Peng Lu, Feng Luo, Lei Ni
Includes bibliographical references (p. 433-454) and index
内容説明・目次
内容説明
Geometric analysis has become one of the most important tools in geometry and topology. In their books on the Ricci flow, the authors reveal the depth and breadth of this flow method for understanding the structure of manifolds. With the present book, the authors focus on the analytic aspects of Ricci flow.
目次
Weak maximum principles for scalars, tensors, and systems Closed manifolds with positive curvature Weak and strong maximum principles on noncompact manifolds Qualitative behavior of classes of solutions Local derivative of curvature estimates Differential Harnack estimates of LYH-type Perelman's differential Harnack estimate An overview of aspects of Ricci flow Aspects of geometric analysis related to Ricci flow Tensor calculus on the frame bundle Bibliography Index.
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