Eigenvalues in Riemannian geometry
Isaac Chavel ; with a chapter by Burton Randol ; with appendix by Jozef Dodziuk.
Orlando : Academic Press, 1984.
xiv, 362 págs. : ilustraciones ; 24 cm.
Serie: Pure and applied mathematics ; 115
ISBN: 0121706400
Bibliografía: p. 345-358.
Reseña: MathSciNet, 86g:58140
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.