Seshadri, Harish and Verma, Kaushal (2006) On isometries of the Caratheodory and Kobayashi metrics on strongly pseudoconvex domains. In: Annali della Scuola Normale Superiore di Pisa  Classe di Scienze, 5 (3). pp. 393417.

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Abstract
Let \Omega(1) and \Omega(2) be strongly pseudoconvex domains in Cn and f : \Omega(1) > \Omega(2) an isometry for the Kobayashi or Caratheodory metrics. Suppose that f extends as a C1 map to (\Omega) over bar (1). We then prove that f\textbackslash{}partial derivative \Omega(1) : partial derivative \Omega(1) > partial derivative \Omega(2) is a CR or antiCR diffeomorphism. It follows that \Omega(1) and \Omega(2) must be biholomorphic or antibiholomorphic.
Item Type:  Journal Article 

Department/Centre:  Division of Physical & Mathematical Sciences > Mathematics 
Date Deposited:  22 Jul 2008 
Last Modified:  30 Jun 2012 08:03 
URI:  http://eprints.iisc.ernet.in/id/eprint/15198 
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