This work examines a rich tapestry of themes and concepts and 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, equivalent embeddings, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of geometries, group actions, and moduli spaces. The Geometry of Complex Domains can serve as a “coming of age” book for a graduate student who has completed at leastone semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research. Unique, authoritative text on a dynamic and active subject area written bythree founders of the field. Comprehensive treatment of the topic, with abundant examples and references. Both accessible to beginners and meaningful for experienced researchers in the field. Useful as a textbook in graduate courses on complex analysis. INDICE: 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.
- ISBN: 978-0-8176-4139-9
- Editorial: Birkhäuser Boston
- Encuadernacion: Cartoné
- Páginas: 300
- Fecha Publicación: 29/05/2011
- Nº Volúmenes: 1
- Idioma: Inglés