2 citations · 4 across the 10 of their papers we have counts for
10 papers
A cup product lemma for continuous plurisubharmonic functions
Terrence Napier, Mohan Ramachandran
A version of Gromov's cup product lemma in which one factor is the (1,0)-part of the differential of a continuous plurisubharmonic function is obtained. As an application, it is sh…
The Bochner-Hartogs dichotomy for bounded geometry hyperbolic Kähler manifolds
Terrence Napier, Mohan Ramachandran
The main result is that for a connected hyperbolic complete Kähler manifold with bounded geometry of order two and exactly one end, either the first compactly supported cohomology…
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…
Linear Shafarevich Conjecture
Philippe Eyssidieux, L. Katzarkov, Tony Pantev +1
We prove that the universal covering space of a complex projective manifold is holomorphically convex provided its fundamental group is linear.
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…