Splitting Parabolic Manifolds
Complex Variables
2014-09-16 v1
Abstract
We study the geometric properties of complex manifolds possessing a pair of plurisubharmonic functions satisfying Monge-Amp\`ere type of condition. The results are applied to characterize complex manifolds biholomorphic to viewed as a product of lower dimensional complex euclidean spaces.
Cite
@article{arxiv.1409.3972,
title = {Splitting Parabolic Manifolds},
author = {Morris Kalka and Giorgio Patrizio},
journal= {arXiv preprint arXiv:1409.3972},
year = {2014}
}
Comments
To appear in Rivista di Matematica dell'Universita' di Parma