Eigenvalues in Riemannian Geometry

Eigenvalues in Riemannian Geometry, 2nd Edition

Eigenvalues in Riemannian Geometry, 2nd Edition,Isaac Chavel,ISBN9780121706401


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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.


Students and Mathematicians.

Isaac Chavel

Affiliations and Expertise

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

Eigenvalues in Riemannian Geometry, 2nd Edition

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.

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