Eigenvalues in Riemannian Geometry - 2nd Edition - ISBN: 9780121706401, 9780080874340

Eigenvalues in Riemannian Geometry, Volume 115

2nd Edition

Authors: Isaac Chavel
eBook ISBN: 9780080874340
Hardcover ISBN: 9780121706401
Imprint: Academic Press
Published Date: 7th November 1984
Page Count: 362
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Table of Contents

Preface. The Laplacian. The Basic Examples. Curvature. Isoperimetric Inequalities. Eigenvalues and Kinematic Measure. The Heat Kernel for Compact Manifolds. The Dirichlet Heat Kernel for Regular Domains. The Heat Kernel for Noncompact Manifolds. Topological Perturbations with Negligible Effect. Surfaces of Constant Negative Curvature. The Selberg Trace Formula. Miscellanea. Laplacian on Forms. Bibliography. Index.


Description

The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.

Readership

Students and Mathematicians.


Details

No. of pages:
362
Language:
English
Copyright:
© Academic Press 1984
Published:
Imprint:
Academic Press
eBook ISBN:
9780080874340
Hardcover ISBN:
9780121706401

About the Authors

Isaac Chavel Author

Affiliations and Expertise

Dept. of Mathematics, The City College of the University of New York