On balanced Hermitian threefolds with parallel Bismut torsion
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917004120686592 |
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| author | Zhao, Quanting Zheng, Fangyang |
| author_facet | Zhao, Quanting Zheng, Fangyang |
| contents | 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-Kähler). In this paper, we give a detailed description to characterize all compact, balanced BTP threefolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On balanced Hermitian threefolds with parallel Bismut torsion Zhao, Quanting Zheng, Fangyang Differential Geometry 53C55 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-Kähler). In this paper, we give a detailed description to characterize all compact, balanced BTP threefolds. |
| title | On balanced Hermitian threefolds with parallel Bismut torsion |
| topic | Differential Geometry 53C55 |
| url | https://arxiv.org/abs/2506.15141 |