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

• Autorzy: Do Duc Thai , Nguyen Le Huong
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

holomorphic fiber bundle; Kobayashi pseudodistance; hyperbolic space; taut space

Kategorie tematyczne

• 32L05: Holomorphic bundles and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1993
• Tom: 58
• Numer: 1
• Strony: 1-5

Daty

wydano

1993

otrzymano

1990-05-09

poprawiono

1990-09-01

poprawiono

1991-01-05

Twórcy

autor

Do Duc Thai

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

autor

Nguyen Le Huong

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

Bibliografia

• [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.