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

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

2005-12-17

arxiv.org/abs/math/0512409v1

Mathematics

Functional Analysis

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

Scientific paper

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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