2 citations · 4 across the 10 of their papers we have counts for
4 papers · 1 filter
Fill Radius and the Fundamental Group
Mohan Ramachandran, Jon Wolfson
In this note we relate the geometric notion of fill radius with the fundamental group of the manifold. We prove: ''Suppose that a closed Riemannian manifold M satisfies the propert…
L^2 Castelnuovo-de Franchis, the cup product lemma, and filtered ends of Kaehler manifolds
Terrence Napier, Mohan Ramachandran
Simple approaches to the proofs of the L^2 Castelnuovo-de Franchis theorem and the cup product lemma which give new versions are developed. For example, suppose u and v are two lin…
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…
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…