On balanced Hermitian threefolds with parallel Bismut torsion
Differential Geometry
2025-10-14 v2
Abstract
We continue our study on Hermitian manifolds that are {\em Bismut torsion parallel,} or {\em BTP} for brevity, which means that the Bismut connection has parallel torsion tensor. For , BTP metrics can be balanced (and non-K\"ahler). In this paper, we give a detailed description to characterize all compact, balanced BTP threefolds.
Keywords
Cite
@article{arxiv.2506.15141,
title = {On balanced Hermitian threefolds with parallel Bismut torsion},
author = {Quanting Zhao and Fangyang Zheng},
journal= {arXiv preprint arXiv:2506.15141},
year = {2025}
}
Comments
35 pages. This paper is the updated and streamlined version of the second half of the long preprint arXiv:2208.03071