A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in Cn

Seshadri, Harish ; Verma, Kaushal (2006) A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in Cn Comptes Rendus Mathematique, 342 (6). pp. 427-430. ISSN 1631-073X

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.crma.2006.01.005

Abstract

Let (M,g) be a simply connected complete Kahler 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 Cn, where dimCM = n.

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