CYT and SKT manifolds with parallel Bismut torsion
Differential Geometry
2024-11-20 v2
Abstract
In the present paper, we study compact complex manifolds admitting a Hermitian metric which is SKT and CYT and whose Bismut torsion is parallel. We first obtain a characterization of the universal cover of such manifolds as a product of a Kaehler Ricci-flat manifold with a Bismut flat one. Then, using a mapping torus construction, we provide non-Bismut flat examples. The existence of generalized Kaehler structures is also investigated.
Keywords
Cite
@article{arxiv.2401.07800,
title = {CYT and SKT manifolds with parallel Bismut torsion},
author = {Beatrice Brienza and Anna Fino and Gueo Grantcharov},
journal= {arXiv preprint arXiv:2401.07800},
year = {2024}
}
Comments
20 pages. Final version. To appear in Proc. Roy. Soc. Edinburgh Sect.A