Caractérisation de isomorphismes analytiques sur la boule-unité de Cn pour une norme.
Carathéodory balls and norm balls in
It is shown that for n ≥ 2 and p > 2, where p is not an even integer, the only balls in the Carathéodory distance on which are balls with respect to the complex norm in are those centered at the origin.
Carathéodory balls in convex complex ellipsoids
We consider the structure of Carathéodory balls in convex complex ellipsoids belonging to few domains for which explicit formulas for complex geodesics are known. We prove that in most cases the only Carathéodory balls which are simultaneously ellipsoids "similar" to the considered ellipsoid (even in some wider sense) are the ones with center at 0. Nevertheless, we get a surprising result that there are ellipsoids having Carathéodory balls with center not at 0 which are also ellipsoids.
Characteristic distributions on 4-dimensional almost complex manifolds
In this paper the Nijenhuis tensor characteristic distributions on a non-integrable four-dimensional almost complex manifold is investigated for integrability, singularities and equivalence.
Characterizations of the Unit Ball Bn in Complex Euclidean Space.
Common Fixed Points of Commuting Holomorphic Maps.
Commuting holomorphic maps in strongly convex domains
Comparison of the Bergman and the Kobayashi Metric.
Completeness of the inner kth Reiffen pseudometric
We give an example of a Zalcman-type domain in ℂ which is complete with respect to the integrated form of the (k+1)st Reiffen pseudometric, but not complete with respect to the kth one.
Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions [Book]
Complex dynamical systems and the geometry of domains in Banach spaces [Book]
Complex geodesics of the minimal ball in
In this note we give a characterization of the complex geodesics of the minimal ball in . This answers a question posed by Jarnicki and Pflug (cf. [JP], Example 8.3.10)
Complex geometry of generalized annuli.
Computing the pluricomplex Green function with two poles.
Concave domains with trivial biholomorphic invariants
It is proved that if F is a convex closed set in ℂⁿ, n ≥2, containing at most one (n-1)-dimensional complex hyperplane, then the Kobayashi metric and the Lempert function of ℂⁿ∖ F identically vanish.
Connectedness of the Carathéodory discs for doubly connected domains
We prove that the Carathéodory discs for doubly connected domains in the complex plane are connected.
Convexity in complex analysis
Correction to the paper "Distortions of a bounded domain by holomorphic mappings".