Geometry and Spectra of Compact Riemann Surfaces

This classic monograph is a self-contained introduction to the geometry of Riemann surfaces of constant curvature -1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace op...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Buser, Peter (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2010.
Edición:1st ed. 2010.
Colección:Modern Birkhäuser Classics,
Temas:
Geometry.
Functions of complex variables.
Algebraic geometry.
Algebra.
Several Complex Variables and Analytic Spaces.
Algebraic Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Hyperbolic Structures
  • Trigonometry
  • Y-Pieces and Twist Parameters
  • The Collar Theorem
  • Bers' Constant and the Hairy Torus
  • The Teichmüller Space
  • The Spectrum of the Laplacian
  • Small Eigenvalues
  • Closed Geodesics and Huber's Theorem
  • Wolpert's Theorem
  • Sunada's Theorem
  • Examples of Isospectral Riemann Surfaces
  • The Size of Isospectral Families
  • Perturbations of the Laplacian in Teichmüller Space.

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