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On isometries of the Kobayashi and Caratheodory metrics

Mahajan, Prachi (2012) On isometries of the Kobayashi and Caratheodory metrics. In: ANNALES POLONICI MATHEMATICI, 104 (2). pp. 121-151.

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Official URL: http://journals.impan.gov.pl/ap/Inf/104-2-2.html

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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