La métrique de Kobayashi et la représentation des domaines sur la boule
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 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.