On extremal mappings in complex ellipsoids

• Autorzy: Armen Edigarian
• Języki publikacji: EN

Abstrakty

EN

Using a generalization of [Pol] we present a description of complex geodesics in arbitrary complex ellipsoids.

Słowa kluczowe

EN

complex ellipsoid; geodesics; extremal mapping

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1995
• Tom: 62
• Numer: 1
• Strony: 83-96

Daty

wydano

1995

otrzymano

1995-01-09

Twórcy

autor

Armen Edigarian

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

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• [Jar-Pfl] M. Jarnicki and P. Pflug, Invariant Distances and Metrics in Complex Analysis, Walter de Gruyter, 1993.
• [Jar-Pfl-Zei] M. Jarnicki, P. Pflug, and R. Zeinstra, Geodesics for convex complex ellipsoids, Ann. Scuola Norm. Sup. Pisa 20 (1993), 535-543.
• [Pan] M.-Y. Pang, Smoothness of the Kobayashi metric of non-convex domains, Internat. J. Math. 4 (1993), 953-987.
• [Pfl-Zwo] P. Pflug and W. Zwonek, The Kobayashi metric for non-convex complex ellipsoids, preprint, 1994.
• [Pol] E. A. Poletskiĭ, The Euler-Lagrange equations for extremal holomorphic mappings of the unit disk, Michigan Math. J. 30 (1983), 317-333.
• [Zei] E. Zeidler, Nonlinear Functional Analysis and its Applications, Vol. I: Fixed-Point Theorems, Springer, 1986.