On extremal mappings in complex ellipsoids
Complex Variables
2008-02-03 v1
Abstract
In the paper we generalize the notion of problem (P) introduced by Poletsky. We introduce the notion of (P_m) extremals. For example, geodesics are (P_1) extremals. Using obtained results we present a description of (P_m) extremals in arbitrary complex ellipsoids. It is a generalization of the result obtained by Jarnicki-Pflug-Zeinstra. We also have a proof of conjecture put forward by Pflug-Zwonek concerning the formulas for geodesics in non-convex complex ellipsoids.
Cite
@article{arxiv.math/9503201,
title = {On extremal mappings in complex ellipsoids},
author = {Armen Edigarian},
journal= {arXiv preprint arXiv:math/9503201},
year = {2008}
}