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ArticleOriginal scientific text

Title

A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles

Authors 1, 1

Affiliations

  1. Department of Mathematics, Pedagogical Institute No. 1 of Ha Noi, Ha Noi, Viet Nam

Abstract

We show a relation between the Kobayashi pseudodistance of a holomorphic fiber bundle and the Kobayashi pseudodistance of its base. Moreover, we prove that a holomorphic fiber bundle is taut iff both the fiber and the base are taut.

Keywords

ENG
holomorphic fiber bundle, Kobayashi pseudodistance, hyperbolic space, taut space

Bibliography

  1. A. Eastwood, A propos des variétés hyperboliques complètes, C. R. Acad. Sci. Paris 280 (1975), 1071-1075.
  2. S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Dekker, New York 1970.
  3. S. Kobayashi, Intrinsic distance, measures and geometric function theory, Bull. Amer. Math. Soc. 82 (1976), 357-416.
  4. S. Lang, Introduction to Hyperbolic Complex Spaces, Springer, 1987.
  5. S. Nag, Hyperbolic manifolds admitting holomorphic fiberings, Bull. Austral. Math. Soc. 26 (1982), 181-184.
  6. H. L. Royden, Holomorphic fiber bundles with hyperbolic fiber, Proc. Amer. Math. Soc. 43 (1974), 311-312.
Annales Polonici Mathematici
1993/58/1
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Pages:
1-5
Main language of publication
English
Received
1990-05-09
Accepted
1990-09-01
Published
1993
Exact and natural sciences