The Geometry of Complex Domains

The geometry of complex domains is a subject with roots extending back more than a century, to the uniformization theorem of Poincaré and Koebe and the resulting proof of existence of canonical metrics for hyperbolic Riemann surfaces. In modern times, developments in several complex variables by Be...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Greene, Robert E. (Autor), Kim, Kang-Tae (Autor), Krantz, Steven G. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
Edición:1st ed. 2011.
Colección:Progress in Mathematics, 291
Temas:
Functions of complex variables.
Mathematical analysis.
Dynamical systems.
Geometry.
Several Complex Variables and Analytic Spaces.
Analysis.
Dynamical Systems.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1 Preliminaries
  • 2 Riemann Surfaces and Covering Spaces
  • 3 The Bergman Kernel and Metric
  • 4 Applications of Bergman Geometry
  • 5 Lie Groups Realized as Automorphism Groups
  • 6 The Significance of Large Isotropy Groups
  • 7 Some Other Invariant Metrics
  • 8 Automorphism Groups and Classification of Reinhardt Domains
  • 9 The Scaling Method, I
  • 10 The Scaling Method, II
  • 11 Afterword
  • Bibliography
  • Index.

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