Geometry and Spectra of Compact Riemann Surfaces

Authors:

ISBN: 978-0-8176-4991-3 (Print) 978-0-8176-4992-0 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xvi

  2. No Access

    Chapter

    Pages 1-30

    Hyperbolic Structures

  3. No Access

    Chapter

    Pages 31-62

    Trigonometry

  4. No Access

    Chapter

    Pages 63-93

    Y-Pieces and Twist Parameters

  5. No Access

    Chapter

    Pages 94-121

    The Collar Theorem

  6. No Access

    Chapter

    Pages 122-137

    Bers’ Constant and the Hairy Torus

  7. No Access

    Chapter

    Pages 138-181

    The Teichmüller Space

  8. No Access

    Chapter

    Pages 182-209

    The Spectrum of the Laplacian

  9. No Access

    Chapter

    Pages 210-223

    Small Eigenvalues

  10. No Access

    Chapter

    Pages 224-267

    Closed Geodesics and Huber’s Theorem

  11. No Access

    Chapter

    Pages 268-282

    Wolpert’s Theorem

  12. No Access

    Chapter

    Pages 283-310

    Sunada’s Theorem

  13. No Access

    Chapter

    Pages 311-339

    Examples of Isospectral Riemann Surfaces

  14. No Access

    Chapter

    Pages 340-361

    The Size of Isospectral Families

  15. No Access

    Chapter

    Pages 362-408

    Perturbations of the Laplacian in Teichmüller Space

  16. Back Matter

    Pages 409-456