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ArticleOriginal scientific text

Title

Hyperbolic-like manifolds, geometrical properties and holomorphic mappings

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Narutowicza 56, PL-90-136 Łódź, Poland
  2. Departamento de Matemáticas, E.S.F.M., Instituto Politécnico Nacional, U.P.A.L.M., Edifico No. 9, Zacatenco, 07000 México 14, D. F., México

Abstract

The authors are dealing with the Dirichlet integral-type biholomorphic-invariant pseudodistance ρXα(z0,z)[] introduced by Dolbeault and Ławrynowicz (1989) in connection with bordered holomorphic chains of dimension one. Several properties of the related hyperbolic-like manifolds are considered remarking the analogies with and differences from the familiar hyperbolic and Stein manifolds. Likewise several examples are treated in detail.

Bibliography

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  2. A. Andreotti and W. Stoll, Extension of holomorphic maps, Ann. of Math. (2) 72 (1960), 312-349.
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  4. P. Dolbeault, Sur les chaines maximalement complexes au bord donné, Proc. Sympos. Pure Math. 44 (1986), 171-205.
  5. P. Dolbeault and J. Ławrynowicz, Holomorphic chains and extendability of holomorphic mappings, Deformations of Mathematical Structures. Complex Analysis with Physical Applications. Selected papers from the Seminar on Deformations, Łódź-Lublin 1985/87, ed. by J. Ławrynowicz, Kluwer Academic Publishers, Dordrecht-Boston-London 1989, 191-204.
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Banach Center Publications
1996/37/1
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Pages:
53-66
Main language of publication
English
Published
1996
Exact and natural sciences