2 citations · 2 across the 8 of their papers we have counts for
8 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…
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…
Strong q-convexity in uniform neighborhoods of subvarieties in coverings of complex spaces
Michael Fraboni, Terrence Napier
The main result is that, for any projective compact analytic subset A of dimension q>0 in a reduced complex space X, there is a neighborhood U of A such that, for any covering spac…
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…
Thompson's Group F is Not Kahler
Terrence Napier, Mohan Ramachandran
The purpose of this note is to prove that Richard Thompson's group F and variants of it studied by Ken Brown are not Kahler groups.