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...

Mô tả đầy đủ

Chi tiết về thư mục
Tác giả chính: Buser, Peter
Tác giả của công ty: SpringerLink (Online service)
Định dạng: Printed Book
Ngôn ngữ:English
Được phát hành: Heidelberg : Birkhauser, 2010.
Loạt:Modern Birkhäuser Classics
Những chủ đề:
Algebra.
Differential equations, partial.
Geometry, algebraic.
Mathematics.
Algebraic Geometry.
Several Complex Variables and Analytic Spaces.
Truy cập trực tuyến:http://www.columbia.edu/cgi-bin/cul/resolve?clio8629422
Mục lục:
  • Preface.-Chapter 1: Hyperbolic Structures.-Chapter 2: Trigonometry
  • Chapter 3: Y-Pieces and Twist Parameters
  • Chapter 4:The Collar Theorem
  • Chapter 5: Bers' Constant and the Hairy Torus
  • Chapter 6: The Teichmüller Space
  • Chapter 7: The Spectrum of the Laplacian
  • Chapter 8: Small Eigenvalues
  • Chapter 9: Closed Geodesics and Huber's Theorem
  • Chapter 10: Wolpert's Theorem
  • Chapter 11: Sunada's Theorem
  • Chapter 12: Examples of Isospectral Riemann surfaces
  • Chapter 13: The Size of Isospectral Families
  • Chapter 14: Perturbations of the Laplacian in Hilbert Space.-Appendix: Curves and Isotopies.-Bibliography.-Index.-Glossary.

Những quyển sách tương tự