Pluriclosed manifolds with parallel Bismut torsion
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866915945055780864 |
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| author | Barbaro, Giuseppe Pediconi, Francesco Tardini, Nicoletta |
| author_facet | Barbaro, Giuseppe Pediconi, Francesco Tardini, Nicoletta |
| contents | We present a complete classification of simply-connected pluriclosed manifolds with parallel Bismut torsion, extending previously known results in the literature. Consequently, we also establish a splitting theorem for compact manifolds that are both pluriclosed with parallel Bismut torsion and Calabi-Yau with torsion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07039 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pluriclosed manifolds with parallel Bismut torsion Barbaro, Giuseppe Pediconi, Francesco Tardini, Nicoletta Differential Geometry Complex Variables 53C55, 53C25, 53B35, 53C05 We present a complete classification of simply-connected pluriclosed manifolds with parallel Bismut torsion, extending previously known results in the literature. Consequently, we also establish a splitting theorem for compact manifolds that are both pluriclosed with parallel Bismut torsion and Calabi-Yau with torsion. |
| title | Pluriclosed manifolds with parallel Bismut torsion |
| topic | Differential Geometry Complex Variables 53C55, 53C25, 53B35, 53C05 |
| url | https://arxiv.org/abs/2406.07039 |