Invariant metrics and peak functions on pseudoconvex domains of homogeneous finite diagonal type.
Invariant pluricomplex Green functions
The purpose of this paper is to present a concise survey of the main properties of biholomorphically invariant pluricomplex Green functions and to describe a number of new examples of such functions. A concept of pluricomplex geodesics is also discussed.
Invariant pseudodistances and pseudometrics - completeness and product property
A survey of properties of invariant pseudodistances and pseudometrics is given with special stress put on completeness and product property.
Isometries of the Teichmüller metric
Kählerian extensions of the symplectic reduction.
Kantenkohomologie
k-convexity in several complex variables
We define and investigate the notion of k-convexity in the sense of Mejia-Minda for domains in ℂⁿ and also that of k-convex mappings on the Euclidean unit ball.
Kobayashi-Royden vs. Hahn pseudometric in ℂ²
For a domain D ⊂ ℂ the Kobayashi-Royden ϰ and Hahn h pseudometrics are equal iff D is simply connected. Overholt showed that for , n ≥ 3, we have . Let D₁, D₂ ⊂ ℂ. The aim of this paper is to show that iff at least one of D₁, D₂ is simply connected or biholomorphic to ℂ 0. In particular, there are domains D ⊂ ℂ² for which .
La métrique de Kobayashi et la représentation des domaines sur la boule
Lefschetzsätze und Hyperkonvexität.
Lempert theorem for strongly linearly convex domains
In 1984 L. Lempert showed that the Lempert function and the Carathéodory distance coincide on non-planar bounded strongly linearly convex domains with real-analytic boundaries. Following his paper, we present a slightly modified and more detailed version of the proof. Moreover, the Lempert Theorem is proved for non-planar bounded strongly linearly convex domains.
Les boules limites de Caratheodory dans un domaine pseudoconvexe
Les métriques invariantes et la caractérisation des isomorphismes analytiques
Local q-completeness of complements of smooth CR-submanifolds.
Local uniform linear convexity with respect to the Kobayashi distance.
Local vs. global hyperconvexity, tautness or -completeness for unbounded open sets in
Some known localization results for hyperconvexity, tautness or -completeness of bounded domains in are extended to unbounded open sets in .
Localization of the Kobayashi Metric and the Boundary Continuity of Proper Holomorphic Mappings.
Mesures de Monge-Ampère et mesures pluriharmoniques.
Modulräume holomorpher Abbildungen auf konkaven komplexen Räumen
n-Concavity of n-dimensional complex spaces.