Non-existence of certain lightlike hypersurfaces of an indefinite Sasakian manifold
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917614843854848 |
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| author | Ssekajja, Samuel |
| author_facet | Ssekajja, Samuel |
| contents | Here, we consider a lightlike hypersurface, tangent to the structure vector field, of an indefinite Sasakian manifold. We prove that no such a hypersurface can either have parallel or recurrent second fundamental forms. In addition to the above, we also prove that no such a hypersurface may have parallel or recurrent induced structural tensors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10531 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-existence of certain lightlike hypersurfaces of an indefinite Sasakian manifold Ssekajja, Samuel Differential Geometry 53C25, 53C40, 53C50 Here, we consider a lightlike hypersurface, tangent to the structure vector field, of an indefinite Sasakian manifold. We prove that no such a hypersurface can either have parallel or recurrent second fundamental forms. In addition to the above, we also prove that no such a hypersurface may have parallel or recurrent induced structural tensors. |
| title | Non-existence of certain lightlike hypersurfaces of an indefinite Sasakian manifold |
| topic | Differential Geometry 53C25, 53C40, 53C50 |
| url | https://arxiv.org/abs/2403.10531 |