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math.DG2005
Filtered ends, proper holomorphic mappings of Kahler manifolds to Riemann surfaces, and Kahler groups
Terrence Napier, Mohan Ramachandran
The main goal of this paper is to prove that a connected bounded geometry complete Kahler manifold which has at least 3 filtered ends admits a proper holomorphic mapping onto a Rie…
math.DG2004
Elementary construction of subharmonic exhaustion functions
Terrence Napier, Mohan Ramachandran
By a theorem of Greene and Wu, a noncompact connected Riemannian manifold admits a smooth strictly subharmonic exhaustion function. Demailly provided an elementary proof of this fa…