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Spectral geometry of manifolds with boundary and decomposition of manifolds


Spectral geometry of manifolds with boundary and decomposition of manifolds. Edited by: Booss-Bavnbek, B; Grubb, G; Wojciechowski, K P (2005). Providence, RI: American Mathematical Society .

Abstract

In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operators on manifolds. This collection of papers, resulting from a Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, provides a broad picture of these methods with new results.

Subjects in the book cover a wide variety of topics, from recent advances in index theory and the more general theory of spectral invariants on closed manifolds and manifolds with boundary, to applications of those invariants in geometry, topology, and physics.

Papers are grouped into four parts: Part I gives an overview of the subject from various points of view. Part II deals with spectral invariants, such as traces, indices, and determinants. Part III is concerned with general geometric and topological questions. Part IV deals specifically with problems on manifolds with singularities. The book is suitable for graduate students and researchers interested in spectral problems in geometry.

Abstract

In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operators on manifolds. This collection of papers, resulting from a Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, provides a broad picture of these methods with new results.

Subjects in the book cover a wide variety of topics, from recent advances in index theory and the more general theory of spectral invariants on closed manifolds and manifolds with boundary, to applications of those invariants in geometry, topology, and physics.

Papers are grouped into four parts: Part I gives an overview of the subject from various points of view. Part II deals with spectral invariants, such as traces, indices, and determinants. Part III is concerned with general geometric and topological questions. Part IV deals specifically with problems on manifolds with singularities. The book is suitable for graduate students and researchers interested in spectral problems in geometry.

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Additional indexing

Item Type:Edited Scientific Work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Date:2005
Deposited On:29 Jan 2010 08:05
Last Modified:11 Aug 2017 06:40
Publisher:American Mathematical Society
Series Name:Contemporary Mathematics
Volume:366
Number of Pages:328
ISSN:0271-4132
ISBN:978-0-8218-3536-4
Official URL:http://www.ams.org/bookstore?fn=20&arg1=conmseries&ikey=CONM-366

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