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.
General
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