On extremal mappings in complex ellipsoids

Details On extremal mappings in complex ellipsoids On extremal mappings in complex ellipsoids

1995-03-30

arxiv.org/abs/math/9503201v1

Mathematics

Complex Variables

Scientific paper

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.

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