On the disc-convexity of complex Banach manifolds
The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.
A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles
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.
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