Holomorphic submersions onto K\"ahler or balanced manifolds
Differential Geometry
2016-10-06 v2 Complex Variables
Abstract
We study many properties concerning weak K\"ahlerianity on compact complex manifolds which admits a holomorphic submersion onto a K\"ahler or a balanced manifold. We get generalizations of some results of Harvey and Lawson (the K\"ahler case), Michelson (the balanced case), Popovici (the sG case) and others.
Keywords
Cite
@article{arxiv.1410.2396,
title = {Holomorphic submersions onto K\"ahler or balanced manifolds},
author = {Lucia Alessandrini},
journal= {arXiv preprint arXiv:1410.2396},
year = {2016}
}
Comments
14 pages; second revised version; in press, Tohoku Math. J. vol 68, n.4 (2016)