Geometry of Complex Domains

Inbunden, Engelska, 2011

AvRobert E. Greene,Kang-Tae Kim,Steven G. Krantz

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This work examines a rich tapestry of themes and concepts that provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, Finsler metrics, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of geometries, group actions, and moduli spaces.This text can serve as a "coming of age" book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.

Produktinformation

Utgivningsdatum2011-05-30
Mått155 x 235 x 25 mm
Vikt670 g
FormatInbunden
SpråkEngelska
SerieProgress in Mathematics
Antal sidor303
Upplaga2011
FörlagBirkhauser Boston Inc
ISBN9780817641399

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Matematik inom Naturvetenskap och teknik

Steven G. Krantz received the B.A. degree from the University of California at Santa Cruz and the Ph.D. from Princeton University. He has taught at UCLA, Princeton, Penn State, and Washington University, where he has most recently served as Chair of the Mathematics Department. Krantz has directed 18 Ph.D. Students and 9 Masters students, and is winner of the Chauvenet Prize and the Beckenbach Book Award. He edits six journals and is Editor-in-Chief of three. A prolific scholar, Krantz has published more than 55 books and more than 160 academic papers.

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.