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arXiv · 2506.15141

On balanced Hermitian threefolds with parallel Bismut torsion

Quanting Zhao·Fangyang Zheng
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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 $n\geq 3$, BTP metrics can be balanced (and non-K\"ahler). In this paper, we give a detailed description to characterize all compact, balanced BTP threefolds.

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Quanting Zhao, Fangyang Zheng. 2025-06-18. On balanced Hermitian threefolds with parallel Bismut torsion. https://arxiv.org/abs/2506.15141

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