On extremal mappings in complex ellipsoids

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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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Complex Variables, 32

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http://salesiana.dossiersoluciones.com/handle/123456789/152968

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9503201
 http://arxiv.org/abs/math/9503201

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arXiv