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

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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.
4 pages. To appear in C. R. Acad. Sci. Paris (Math)

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Functional Analysis, Complex Variables, Differential Geometry, 53C55

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http://salesiana.dossiersoluciones.com/handle/123456789/106281

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512409
 http://arxiv.org/abs/math/0512409

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arXiv