The Kobayashi metric on complex spaces.
Intrinsic metrics in complete circular domains.
Continuous dynamical systems on Taut complex manifolds
On holomorphic isometries for the Kobayashi and Carathéodory distances on complex manifolds
It is shown that under certain conditions every holomorphic isometry for the Carathéodory or the Kobayashi distances is an isometry for the corrisponding metrics. These results are used to give a characterization of biholomorphic mappings between convex domains and complete circular domains.
On holomorphic isometries for the Kobayashi and Carathéodory distances on complex manifolds
It is shown that under certain conditions every holomorphic isometry for the Carathéodory or the Kobayashi distances is an isometry for the corrisponding metrics. These results are used to give a characterization of biholomorphic mappings between convex domains and complete circular domains.
Transversally Pseudoconvex Foliations
We consider real analytic foliations with complex leaves of transversal dimension one and we give the notion of transversal pseudoconvexity. This amounts to require that the transverse bundle to the leaves carries a metric on the the fibres such that the tangential (1,1)-form is positive. This condition is of a special interest if the foliation is 1 complete i.e. admits a smooth exhaustion function which is strongly plusubharmonic along the leaves. In this situation we prove that there...
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