Eigenvalues in Riemannian geometry / Isaac Chavel ; with a chapter by Burton Randol ; with appendix by Jozef Dodziuk.
Series Pure and applied mathematics (Academic Press): 115.Editor: Orlando : Academic Press, 1984Descripción: xiv, 362 p. : il. ; 24 cmISBN: 0121706400Tema(s): Geometry, Riemannian | Differential equations, Partial | EigenvaluesOtra clasificación: 58G25 (35P99 53C20) | 58J50 Recursos en línea: Publisher description1. The Laplacian2. The basic examples3. $ lambda_1$ and curvature4. Isoperimetric inequalities5. Eigenvalues and the kinematic measure6. The heat kernel for compact manifolds7. The Dirichlet heat kernel for regular domains8. The heat kernel for noncompact manifolds9. Topological perturbations with negligible effect10. Surfaces of constant negative curvature11. The Selberg Trace Formula / by Burton Randol12. MiscellaneaAppendix: Laplacian on forms / by Jozef Dodziuk.
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Bibliografía: p. 345-358.
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.
MR, 86g:58140
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