Summary and Info
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.
More About the Author
Anatoli Georgievich Vitushkin (Russian: Анато́лий Гео́ргиевич Виту́шкин) (June 25, 1931 – May 9, 2004) was a Soviet mathematician noted for his work on mathematical analysis and analytic capacity.
Review and Comments
Rate the Book
Several Complex Variables I: Introduction to Complex Analysis 0 out of 5 stars based on 0 ratings.