Quaternionic Bott-Chern cohomology and existence of HKT metrics
Differential Geometry
2016-12-14 v2
Abstract
We study quaternionic Bott-Chern cohomology on compact hypercomplex manifolds and adapt some results from complex geometry to the quaternionic setting. For instance, we prove a criterion for the existence of HKT metrics on compact hypercomplex manifolds of real dimension 8 analogous to the one given by Teleman [35] and Angella-Dloussky-Tomassini [3] for compact complex surfaces.
Keywords
Cite
@article{arxiv.1605.07117,
title = {Quaternionic Bott-Chern cohomology and existence of HKT metrics},
author = {Mehdi Lejmi and Patrick Weber},
journal= {arXiv preprint arXiv:1605.07117},
year = {2016}
}
Comments
To appear in Quarterly Journal of Mathematics. Final version