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. 393-417.
|
PDF
isometries.pdf - Accepted Version Download (274kB) | Preview |
Abstract
Let \Omega(1) and \Omega(2) be strongly pseudoconvex domains in C-n and f : \Omega(1) --> \Omega(2) an isometry for the Kobayashi or Caratheodory metrics. Suppose that f extends as a C-1 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 anti-CR diffeomorphism. It follows that \Omega(1) and \Omega(2) must be biholomorphic or anti-biholomorphic.
Item Type: | Journal Article |
---|---|
Publication: | Annali della Scuola Normale Superiore di Pisa - Classe di Scienze |
Publisher: | Cellule MathDoc |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 22 Jul 2008 |
Last Modified: | 30 Jun 2012 08:03 |
URI: | http://eprints.iisc.ac.in/id/eprint/15198 |
Actions (login required)
View Item |