The Bochner-Hartogs dichotomy for bounded geometry hyperbolic K\"ahler manifolds
Complex Variables
2015-06-16 v1
Abstract
The main result is that for a connected hyperbolic complete K\"ahler manifold with bounded geometry of order two and exactly one end, either the first compactly supported cohomology with values in the structure sheaf vanishes or the manifold admits a proper holomorphic mapping onto a Riemann surface.
Keywords
Cite
@article{arxiv.1506.04328,
title = {The Bochner-Hartogs dichotomy for bounded geometry hyperbolic K\"ahler manifolds},
author = {Terrence Napier and Mohan Ramachandran},
journal= {arXiv preprint arXiv:1506.04328},
year = {2015}
}