The Carathéodory distance in strongly pseudoconvex domains.
The Carathéodory pseudodistance has the product property.
The inner Carathédory distance for the annulus.
The Kobayashi metric of a complex ellipsoid in .
The Kobayashi metric on complex spaces.
The Kobayashi-Pseudodistance on Homogeneous Manifolds.
The ratio of invariant metrics on the annulus and theta functions
The symmetric pluricomplex Green function
The Wu metric in elementary Reinhardt domains.
Topological equivalence of metrics in Teichmüller space.
Topologies defined by some invariant pseudodistances
Topologische Fortsetzung biholomorpher Funktionen auf dem Rande bei beschränkten streng-pseudokonvexen Gebieten im Cn mit C°°- Rand.
Transfer of Estimates from Convex to Strongly Pseudoconvex Domains in
In this article, estimates of the hyperbolic and Carathéodory distances in domains , n ≥ 1, are obtained. They are equally valid for the Kobayashi distance.
Two remarks on the Suita conjecture
It is shown that the weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with -smooth boundary. On the other hand, it is proved that the weak converse to the Suita conjecture holds for any finitely connected planar domain.