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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2205.14823 |
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| _version_ | 1866910324732461056 |
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| author | Wu, Tong Wang, Yong Wang, Xue |
| author_facet | Wu, Tong Wang, Yong Wang, Xue |
| contents | In this paper, we define the $W_2$-curvature tensor on super Riemannian manifolds. And we compute the curvature tensor, the Ricci tensor and the $W_2$-curvature tensor on super twisted product spaces. Furthermore, we investigate the $W_2$-curvature flat super twisted product manifolds. And, we get a result that a mixed Ricci-flat super twisted product semi-Riemannian manifold can be expressed as a super warped product semi-Riemannian manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_14823 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Super twisted products Wu, Tong Wang, Yong Wang, Xue Differential Geometry In this paper, we define the $W_2$-curvature tensor on super Riemannian manifolds. And we compute the curvature tensor, the Ricci tensor and the $W_2$-curvature tensor on super twisted product spaces. Furthermore, we investigate the $W_2$-curvature flat super twisted product manifolds. And, we get a result that a mixed Ricci-flat super twisted product semi-Riemannian manifold can be expressed as a super warped product semi-Riemannian manifold. |
| title | Super twisted products |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2205.14823 |