The Geometry of Complex Domains

• Κύριοι συγγραφείς: Greene, Robert E. (Συγγραφέας), Kim, Kang-Tae (Συγγραφέας), Krantz, Steven G. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2011.
• Σειρά: Progress in Mathematics ; 291
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Functions of complex variables.; Geometry.; Several Complex Variables and Analytic Spaces.; Analysis.; Dynamical Systems and Ergodic Theory.

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 Ber...

Πίνακας περιεχομένων:

• 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.