Author	Kobayashi, Shoshichi. author
Title	Hyperbolic Complex Spaces [electronic resource] / by Shoshichi Kobayashi
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998
Connect to	http://dx.doi.org/10.1007/978-3-662-03582-5
Descript	XIV, 474 p. online resource

In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Carathรฉodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area

1. Distance Geometry -- 2. Schwarz Lemma and Negative Curvature -- 3. Intrinsic Distances -- 4. Intrinsic Distances for Domains -- 5. Holomorphic Maps into Hyperbolic Spaces -- 6. Extension and Finiteness Theorems -- 7. Manifolds of General Type -- 8. Value Distributions -- References

1. Mathematics
2. Functions of complex variables
3. Differential geometry
4. Mathematics
5. Differential Geometry
6. Several Complex Variables and Analytic Spaces