Eigenvalues in Riemannian Geometry
- 2nd Edition, Volume 115 - November 28, 1984
- Latest edition
- Author: Isaac Chavel
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 3 9 9 4 6 0 - 8
- Hardback ISBN:9 7 8 - 0 - 1 2 - 1 7 0 6 4 0 - 1
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 8 7 4 3 4 - 0
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… Read more
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.
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.
- Edition: 2
- Latest edition
- Volume: 115
- Published: November 28, 1984
- Language: English
IC
Isaac Chavel
Affiliations and expertise
Dept. of Mathematics, The City College of the University of New YorkRead Eigenvalues in Riemannian Geometry on ScienceDirect