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

100%

Do T., Nguyen H.

Annales Polonici Mathematici

1993

tom 58

nr 1

1-5

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.

Isometric immersions of the hyperbolic space $H^n(-1)$ into $H^{n+1}(-1)$

100%

Hu Z.-J.

Colloquium Mathematicum

1999

tom 79

nr 1

17-23

We transform the problem of determining isometric immersions from $H^n(-1)$ into $H^{n+1}(-1)$ into that of solving equations of degenerate Monge-Ampère type on the unit ball $B^n(1)$. By presenting one family of special solutions to the equations, we obtain a great many noncongruent examples of such isometric immersions with or without umbilic set.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

1 Do T.

1 Hu Z.-J.

1 Nguyen H.

1 1999

1 1993

Wyniki wyszukiwania

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

Isometric immersions of the hyperbolic space $H^n(-1)$ into $H^{n+1}(-1)$