ENGLISH

Several Complex Variables III: Geometric Function Theory

By G. M. Khenkin

Book information

Publisher
Springer
Year
1989
ISBN
0387170057, 9780387170053
LCC
QA331 .K738313 1989
Open Library ID
OL2529271M
Language
english
Format
PDF
Filesize
17 MB (18165780 bytes)
Series
Encyclopaedia of Mathematical Sciences
Volume
Volume 3
Pages
132\132
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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.

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