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. (Request a copy)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 |
---|---|
Publication: | ANNALES POLONICI MATHEMATICI |
Publisher: | POLISH ACAD SCIENCES INST MATHEMATICS |
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.ac.in/id/eprint/44707 |
Actions (login required)
View Item |