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

Do Duc Thai; Nguyen Le Huong

Annales Polonici Mathematici (1993)

  • Volume: 58, Issue: 1, page 1-5
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Do Duc Thai, and Nguyen Le Huong. "A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles." Annales Polonici Mathematici 58.1 (1993): 1-5. <http://eudml.org/doc/262493>.

@article{DoDucThai1993,
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.},
author = {Do Duc Thai, Nguyen Le Huong},
journal = {Annales Polonici Mathematici},
keywords = {holomorphic fiber bundle; Kobayashi pseudodistance; hyperbolic space; taut space; taut complex space},
language = {eng},
number = {1},
pages = {1-5},
title = {A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles},
url = {http://eudml.org/doc/262493},
volume = {58},
year = {1993},
}

TY - JOUR
AU - Do Duc Thai
AU - Nguyen Le Huong
TI - A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles
JO - Annales Polonici Mathematici
PY - 1993
VL - 58
IS - 1
SP - 1
EP - 5
AB - 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.
LA - eng
KW - holomorphic fiber bundle; Kobayashi pseudodistance; hyperbolic space; taut space; taut complex space
UR - http://eudml.org/doc/262493
ER -

References

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  1. [1] A. Eastwood, A propos des variétés hyperboliques complètes, C. R. Acad. Sci. Paris 280 (1975), 1071-1075. Zbl0301.32021
  2. [2] S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Dekker, New York 1970. Zbl0207.37902
  3. [3] S. Kobayashi, Intrinsic distance, measures and geometric function theory, Bull. Amer. Math. Soc. 82 (1976), 357-416. Zbl0346.32031
  4. [4] S. Lang, Introduction to Hyperbolic Complex Spaces, Springer, 1987. 
  5. [5] S. Nag, Hyperbolic manifolds admitting holomorphic fiberings, Bull. Austral. Math. Soc. 26 (1982), 181-184. Zbl0504.32022
  6. [6] H. L. Royden, Holomorphic fiber bundles with hyperbolic fiber, Proc. Amer. Math. Soc. 43 (1974), 311-312. Zbl0284.32017

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