Eigenvalues in Riemannian Geometry
- Burton Randol, Graduate School of the City University of New York
- Jozef Dodziuk, Queens College of the City University of New York By
- Isaac Chavel, Dept. of Mathematics, The City College of the University of New York
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.
Audience
Students and Mathematicians.
Included in series
Pure and Applied Mathematics
Pure and Applied Mathematics
Hardbound, 362 Pages
Published: November 1984
Imprint: Academic Press
ISBN: 978-0-12-170640-1
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.
