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Proper holomorphic mappings between hyperbolic product manifolds

Janardhanan, Jaikrishnan (2014) Proper holomorphic mappings between hyperbolic product manifolds. In: INTERNATIONAL JOURNAL OF MATHEMATICS, 25 (4).

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Official URL: http://dx.doi.org/10.1142/S0129167X14500396


We prove a result on the structure of finite proper holomorphic mappings between complex manifolds that are products of hyperbolic Riemann surfaces. While an important special case of our result follows from the ideas developed by Remmert and Stein, the proof of the full result relies on the interplay of the latter ideas and a finiteness theorem for Riemann surfaces.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to the WORLD SCIENTIFIC PUBL CO PTE LTD, SINGAPORE
Keywords: Proper holomorphic mappings; hyperbolic manifolds; Remmert-Stein theorem; normal families
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 03 Jun 2014 08:42
Last Modified: 03 Jun 2014 08:42
URI: http://eprints.iisc.ac.in/id/eprint/49137

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