Balanced Manifolds and SKT Metrics
Complex Variables
2016-09-01 v1 Algebraic Geometry
Differential Geometry
Abstract
The equality between the balanced and the Gauduchon cones is discussed in several situations. In particular, it is shown that equality does not hold on many twistor spaces, and it holds on Moishezon manifolds. Moreover, it is proved that a SKT manifold of dimension three on which the balanced cone equals the Gauduchon cone is in fact Kahler.
Keywords
Cite
@article{arxiv.1608.08721,
title = {Balanced Manifolds and SKT Metrics},
author = {Ionut Chiose and Rares Rasdeaconu and Ioana Suvaina},
journal= {arXiv preprint arXiv:1608.08721},
year = {2016}
}
Comments
11 pages, no figures