| 书目名称 | Vanishing and Finiteness Results in Geometric Analysis |
| 副标题 | A Generalization of |
| 编辑 | Stefano Pigola,Alberto G. Setti,Marco Rigoli |
| 视频video | |
| 概述 | Comprehensive account of very recent results in geometric analysis.Essentially self-contained, supplying the necessary background material which is not easily available in book form and presenting muc |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .This book presents very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods from spectral theory and qualitative properties of solutions of PDEs to comparison theorems in Riemannian geometry and potential theory...All needed tools are described in detail, often with an original approach. Some of the applications presented concern the topology at infinity of submanifolds, L.p. cohomology, metric rigidity of manifolds with positive spectrum, and structure theorems for Kähler manifolds...The book is essentially self-contained and supplies in an original presentation the necessary background material not easily available in book form.. |
| 出版日期 | Book 2008 |
| 关键词 | Riemannian geometry; Riemannian manifold; calculus; comparison theorem; differential equation; geometric |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-7643-8642-9 |
| isbn_ebook | 978-3-7643-8642-9Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Birkhäuser Basel 2008 |
发表于 2025-3-21 17:53:43
