On extremal mappings in complex ellipsoids
Abstract
In the paper we generalize the notion of problem (P) introduced by Poletsky. We introduce the notion of (Pm) extremals. For example, geodesics are (P1) extremals. Using obtained results we present a description of (Pm) 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.