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

 - Bangalore:  Department of Mathematics, Indian Institute of Science:   2006 
 - Let (M, g) be a simply connected complete K¨ahler 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 
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