On extremal mappings in complex ellipsoids

Armen Edigarian

Annales Polonici Mathematici (1995)

  • Volume: 62, Issue: 1, page 83-96
  • ISSN: 0066-2216

Abstract

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

How to cite

top

Armen Edigarian. "On extremal mappings in complex ellipsoids." Annales Polonici Mathematici 62.1 (1995): 83-96. <http://eudml.org/doc/262648>.

@article{ArmenEdigarian1995,
abstract = {Using a generalization of [Pol] we present a description of complex geodesics in arbitrary complex ellipsoids.},
author = {Armen Edigarian},
journal = {Annales Polonici Mathematici},
keywords = {complex ellipsoid; geodesics; extremal mapping; complex geodesic; extremal analytic disc; Kobayashi-Royden metric; Lempert function},
language = {eng},
number = {1},
pages = {83-96},
title = {On extremal mappings in complex ellipsoids},
url = {http://eudml.org/doc/262648},
volume = {62},
year = {1995},
}

TY - JOUR
AU - Armen Edigarian
TI - On extremal mappings in complex ellipsoids
JO - Annales Polonici Mathematici
PY - 1995
VL - 62
IS - 1
SP - 83
EP - 96
AB - Using a generalization of [Pol] we present a description of complex geodesics in arbitrary complex ellipsoids.
LA - eng
KW - complex ellipsoid; geodesics; extremal mapping; complex geodesic; extremal analytic disc; Kobayashi-Royden metric; Lempert function
UR - http://eudml.org/doc/262648
ER -

References

top
  1. [Hay-Ken] W. K. Hayman and P. B. Kennedy, Subharmonic Functions, Vol. I, Academic Press, 1976. Zbl0419.31001
  2. [Jar-Pfl] M. Jarnicki and P. Pflug, Invariant Distances and Metrics in Complex Analysis, Walter de Gruyter, 1993. 
  3. [Jar-Pfl-Zei] M. Jarnicki, P. Pflug, and R. Zeinstra, Geodesics for convex complex ellipsoids, Ann. Scuola Norm. Sup. Pisa 20 (1993), 535-543. Zbl0812.32010
  4. [Pan] M.-Y. Pang, Smoothness of the Kobayashi metric of non-convex domains, Internat. J. Math. 4 (1993), 953-987. Zbl0795.32008
  5. [Pfl-Zwo] P. Pflug and W. Zwonek, The Kobayashi metric for non-convex complex ellipsoids, preprint, 1994. 
  6. [Pol] E. A. Poletskiĭ, The Euler-Lagrange equations for extremal holomorphic mappings of the unit disk, Michigan Math. J. 30 (1983), 317-333. 
  7. [Zei] E. Zeidler, Nonlinear Functional Analysis and its Applications, Vol. I: Fixed-Point Theorems, Springer, 1986. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.