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Geometry and spectra of compact Riemann surfaces [electronic resource] / by Peter Buser.

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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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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Buser, Peter, 1946-
Format: Electronic eBook
Language:English
Published: Boston, Mass. : London : Birkhäuser ; Springer [distributor], 2010.
Edition:2nd ed.
Series:Modern Birkhäuser classics.
Subjects:
Riemann surfaces.
Table of Contents:
  • 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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