Several Complex Variables III: Geometric Function Theory (Encyclopaedia of Mathematical Sciences) - G. M. Khenkin, Khenkin, G. M (1989)
ISBN 0387170057
Subject Functions of several complex variables
Publisher Springer
Publication Date April 1989
Format Hardcover (239 x 162 mm)
Language e
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.
Personal Details
Collection Status In Collection
Index 630
Read It Yes
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Product Details
LoC Classification QA331 .K738313 1989
Dewey 515.9/4
Cover Price $139.00
No. of Pages 261
Translation of: Kompleksnyi? analiz-mnogie peremennye 3.