Isaac Chavel,
Isaac (Dept. of Mathematics, The City College of the University of New York) Chavel
Elsevier Science
e druk, 1984
9780121706401
Eigenvalues in Riemannian Geometry
Specificaties
Gebonden, blz.
|
Engels
Elsevier Science |
e druk, 1984
ISBN13: 9780121706401
Rubricering
Onderdeel van serie
Pure and Applied Mathematics
Verwachte levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
Inhoudsopgave
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.