Vanishing and Finiteness Results in Geometric Analysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Setti, Alberto G. 作者

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出版日期

282 页数

$ 79.04 价格

Progress in Mathematics 丛书系列

9783764386412 图书编码

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发表于2024-08-03

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Vanishing and Finiteness Results in Geometric Analysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Vanishing and Finiteness Results in Geometric Analysis 在线电子书图书描述

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, Lp cohomology, metric rigidity of manifolds with positive spectrum, and structure theorems for KAhler manifolds. The book is essentially self-contained and supplies in an original presentation the necessary background material not easily available in book form.

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