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The fixed points of holomorphic maps on a convex domain

100%

Do T.

Annales Polonici Mathematici

1991-1992

tom 56

nr 2

143-148

We give a simple proof of the result that if D is a (not necessarily bounded) hyperbolic convex domain in $ℂ^n$ then the set V of fixed points of a holomorphic map f:D → D is a connected complex submanifold of D; if V is not empty, V is a holomorphic retract of D. Moreover, we extend these results to the case of convex domains in a locally convex Hausdorff vector space.

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

63%

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.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Do T.

1 Nguyen H.

1 1993

1 1992

Wyniki wyszukiwania

The fixed points of holomorphic maps on a convex domain

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