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.
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Zielgruppe
Für höhere Schule und Studium
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ISBN-13
978-0-8218-4429-8 (9780821844298)
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Schweitzer Klassifikation
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.