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Vanishing and Finiteness Results in Geometric Analysis - A Generalization of the Bochner Technique (Hardcover, 2008 ed.) Loot Price: R1,553

Discovery Miles 15 530

Repayment Terms: R146 pm x 12*

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Vanishing and Finiteness Results in Geometric Analysis - A Generalization of the Bochner Technique (Hardcover, 2008 ed.):...

Vanishing and Finiteness Results in Geometric Analysis - A Generalization of the Bochner Technique (Hardcover, 2008 ed.)

Stefano Pigola, Marco Rigoli, Alberto G Setti

Series: Progress in Mathematics, 266

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Loot Price R1,553 Discovery Miles 15 530 | Repayment Terms: R146 pm x 12*

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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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Progress in Mathematics, 266
Release date:	April 2008
First published:	2008
Authors:	Stefano Pigola • Marco Rigoli • Alberto G Setti
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	282
Edition:	2008 ed.
ISBN-13:	978-3-7643-8641-2
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General Promotions
LSN:	3-7643-8641-X
Barcode:	9783764386412