Mahajan, Prachi (2012) On isometries of the Kobayashi and Caratheodory metrics. In: ANNALES POLONICI MATHEMATICI, 104 (2). pp. 121-151.
Full text not available from this repository.Abstract
This article considers C-1-smooth isometries of the Kobayashi and Caratheodory metrics on domains in C-n and the extent to which they behave like holomorphic mappings. First we provide an example which suggests that B-n cannot be mapped isometrically onto a product domain. In addition, we prove several results on continuous extension of C-0-isometries f : D-1 -> D-2 to the closures under purely local assumptions on the boundaries. As an application, we show that there is no C-0-isometry between a strongly pseudoconvex domain in C-2 and certain classes of weakly pseudoconvex finite type domains in C-2.
| Item Type: | Journal Article |
|---|---|
| Keywords: | Kobayashi metric;Caratheodory metric;complex geodesic;isometry |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 30 Jun 2012 07:54 |
| Last Modified: | 30 Jun 2012 07:57 |
| URI: | http://eprints.iisc.ernet.in/id/eprint/44707 |
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