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Holomorphic Chains and Extendability of Holomorphic Mappings

In: Deformations of Mathematical Structures

Author

Listed:
  • Pierre Dolbeault

    (Université Pierre et Marie Curie, Mathématiques, L.A. 213 du C.N.R.S.)

  • Julian Ławrynowicz

    (Polish Academy of Sciences, Institute of Mathematics)

Abstract

The authors introduce a Dirichlet integral-type biholo-morphic-invariant pseudodistance connected with bordered holomorphic chains of dimension one whose regular part is treated as a Riemann surface. The condition for a complex manifold that the pseudodistance on it is a distance defines a class of hyperbolic-like manifolds which have an important property of extendability of holomorphic mappings, analogous to the hyperbolic manifolds, Stein spaces, and complex spaces with a Stein covering.

Suggested Citation

  • Pierre Dolbeault & Julian Ławrynowicz, 1989. "Holomorphic Chains and Extendability of Holomorphic Mappings," Springer Books, in: Julian Ławrynowicz (ed.), Deformations of Mathematical Structures, pages 191-204, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2643-1_18
    DOI: 10.1007/978-94-009-2643-1_18
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