Totally geodesic discs in strongly convex domains

Gaussier, Herve and Seshadri, Harish (2013) Totally geodesic discs in strongly convex domains. In: Mathematische Zeitschrift, 274 (1-2). pp. 185-197.

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Abstract

We prove that every isometry from the unit disk Delta in , endowed with the Poincar, distance, to a strongly convex bounded domain Omega of class in , endowed with the Kobayashi distance, is the composition of a complex geodesic of Omega with either a conformal or an anti-conformal automorphism of Delta. As a corollary we obtain that every isometry for the Kobayashi distance, from a strongly convex bounded domain of class in to a strongly convex bounded domain of class in , is either holomorphic or anti-holomorphic.

Item Type:	Journal Article
Publication:	Mathematische Zeitschrift
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	27 Jun 2013 07:50
Last Modified:	27 Jun 2013 07:50
URI:	http://eprints.iisc.ac.in/id/eprint/46749

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