Several Complex Variables III: Geometric Function Theory (Encyclopaedia of Mathematical Sciences) (English and Russian Edition) - Hardcover

Khenkin, G.M. (ed).

Hardcover

ISBN 10: 0387170057 ISBN 13: 9780387170053

Publisher: Springer Verlag, 1989

Synopsis

The first contribution describes basic concepts, facts and problems of the modern theory of entire functions of several complex variables. The second contribution deals with analogies of basic Nevanlinna's theorems about the distribution of values in the multidimensional case and various applications. The third contribution is devoted to invariant metrics and volumes and their applications in problems of function theory of several variables. The fourth contribution touches upon various results concerning the rigidity of holomorphic mappings of complex spaces beginnning with classical Liouville's and Picard's theorems. Contribution five presents results concerning extension of holomorphic mappings to the boundaries of domains, and results about correspondence of boundaries and equivalence of domains with respect to biholomorphic mappings. Contribution six dwells on the problem of biholomorphic equivalence of manifolds in this differential geometric aspect. The last contribution reviews applications of multidimensional complex geometry in modern physical theories - supergravitation and supergauge fields. This volume will be useful to complex analysts and physicists. It is rounded off by an extensive bibliography.

About this title

Language Notes

Text: English, Russian (translation)

Edition details

• Publisher: Springer Verlag
• Publication date: 1989
• ISBN 10: 0387170057
• ISBN 13: 9780387170053
• Binding: Hardcover
• Language: English
• Number of pages: 261