A class of nonpositively curved Kähler manifolds biholomorphic to the unit ball in $C^n$

Seshadri, Harish and Verma, Kaushal (2006) A class of nonpositively curved Kähler manifolds biholomorphic to the unit ball in $C^n$. In: Comptes Rendus Mathematique, 342 (6). pp. 427-430.

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Abstract

Let (M, g) be a simply connected complete Kähler manifold with nonpositive sectional curvature. Assume that g has constant negative holomorphic sectional curvature outside a compact set. We prove that M is then biholomorphic to the unit ball in $C^n$,where $dim_C\hspace{2mm}M=n$.

Item Type:	Journal Article
Publication:	Comptes Rendus Mathematique
Publisher:	Elsevier SAS
Additional Information:	Copyright of this artricle belongs to Elsevier SAS.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	20 Nov 2007
Last Modified:	19 Sep 2010 04:27
URI:	http://eprints.iisc.ac.in/id/eprint/7100

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