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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.16788 |
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| _version_ | 1866913329282285568 |
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| author | Aydin, Muhittin Evren Mihai, Adela Özgür, Cihan |
| author_facet | Aydin, Muhittin Evren Mihai, Adela Özgür, Cihan |
| contents | In this paper we study rectifying submanifolds of a Riemannian manifold endowed with an anti-torqued vector field. For this, we first determine a necessary and sufficient condition for the ambient space to admit such a vector field. Then we characterize submanifolds for which an anti-torqued vector field is always assumed to be tangent or normal. A similar characterization is also done in the case of the torqued vector fields. Finally, we obtain that the rectifying submanifolds with anti-torqued axis are the warped products whose warping function is a first integration of the conformal scalar of the axis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16788 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rectifying submanifolds of Riemannian manifolds with anti-torqued axis Aydin, Muhittin Evren Mihai, Adela Özgür, Cihan Differential Geometry 53B40, 53C42, 53B20 In this paper we study rectifying submanifolds of a Riemannian manifold endowed with an anti-torqued vector field. For this, we first determine a necessary and sufficient condition for the ambient space to admit such a vector field. Then we characterize submanifolds for which an anti-torqued vector field is always assumed to be tangent or normal. A similar characterization is also done in the case of the torqued vector fields. Finally, we obtain that the rectifying submanifolds with anti-torqued axis are the warped products whose warping function is a first integration of the conformal scalar of the axis. |
| title | Rectifying submanifolds of Riemannian manifolds with anti-torqued axis |
| topic | Differential Geometry 53B40, 53C42, 53B20 |
| url | https://arxiv.org/abs/2404.16788 |