Eigenvalues in Riemannian geometry /

Guardado en:
Autor Principal: Chavel, Isaac.
Formato: Libro
Idioma:English
Publicado: Orlando : Academic Press, 1984.
Series:Pure and applied mathematics (Academic Press) ; 115.
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Acceso en línea:Publisher description
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Tabla de Contenidos:
  • 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.