Seshadri, Harish and Verma, Kaushal (2009) On the compactness of isometry groups in complex analysis. In: Complex Variables, 54 (3-4). pp. 387-399.
Full text not available from this repository. (Request a copy)
Official URL: http://www.informaworld.com/smpp/content~db=all?co...
Abstract
We prove that the group of continuous isometries for the Kobayashi or Caratheodory metrics of a strongly convex domain in C-n is compact unless the domain is biholomorphic to the ball. A key ingredient, proved using differential geometric ideas, is that a continuous isometry between a strongly convex domain and the ball has to be biholomorphic or anti-biholomorphic. Combining this with a metric version of Pinchuk's rescaling technique gives the main result.
| Item Type: | Journal Article |
|---|---|
| Publication: | Complex Variables |
| Publisher: | Taylor and Francis Group |
| Additional Information: | Copyright of this article belongs to Taylor and Francis Group. |
| Keywords: | isometry group; compactness; Kobayashi metric; Caratheacuteodory metric;biholomorphic mapping |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 12 Jul 2010 08:53 |
| Last Modified: | 12 Jul 2010 08:53 |
| URI: | http://eprints.iisc.ac.in/id/eprint/29206 |
Actions (login required)
 |
View Item |
