Chavel, Isaac.
Eigenvalues in Riemannian geometry / Isaac Chavel ; with a chapter by Burton Randol ; with appendix by Jozef Dodziuk.
— Orlando : Academic Press, 1984. xiv, 362 p. : il. ; 24 cm. — (Pure and applied mathematics ; 115)
Bibliografía: p. 345-358.
Contenido: 1. The Laplacian — 2. The basic examples — 3. $\lambda_1$ and curvature — 4. Isoperimetric inequalities — 5. Eigenvalues and the kinematic measure — 6. The heat kernel for compact manifolds — 7. The Dirichlet heat kernel for regular domains — 8. The heat kernel for noncompact manifolds — 9. Topological perturbations with negligible effect — 10. Surfaces of constant negative curvature — 11. The Selberg Trace Formula / by Burton Randol — 12. Miscellanea — Appendix: Laplacian on forms / by Jozef Dodziuk.
ISBN 0121706400
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