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

Harish Seshadri; Kaushal Verma

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

Harish Seshadri·Kaushal Verma

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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 C^n, where dim M = n.

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BibTeX RIS

Harish Seshadri, Kaushal Verma. 2005-12-17. A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in C^n. https://arxiv.org/abs/math/0512409

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