# 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 Copyright of this artricle belongs to Elsevier SAS. Division of Physical & Mathematical Sciences > Mathematics 20 Nov 2007 19 Sep 2010 04:27 http://eprints.iisc.ernet.in/id/eprint/7100