Clairaut anti-invariant Riemannian maps to Sasakian manifolds
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913485948977152 |
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| author | Zafar, Md Nadim Zaidi, Adeeba Shanker, Gauree |
| author_facet | Zafar, Md Nadim Zaidi, Adeeba Shanker, Gauree |
| contents | In this paper, we investigate the geometry of Clairaut anti-invariant Riemannnian maps whose base space are Sasakian manifolds. We obtain the necessary and sufficient conditions for a curve on a base manifold to be geodesic. We obtain conditions for an anti-invariant Riemannian map to be Clairaut. Further, we discuss the biharmonicity of such maps and construct some illustrative examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03129 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Clairaut anti-invariant Riemannian maps to Sasakian manifolds Zafar, Md Nadim Zaidi, Adeeba Shanker, Gauree Differential Geometry 53C15 (Primary), 53C25, 54C05 (Secondary) In this paper, we investigate the geometry of Clairaut anti-invariant Riemannnian maps whose base space are Sasakian manifolds. We obtain the necessary and sufficient conditions for a curve on a base manifold to be geodesic. We obtain conditions for an anti-invariant Riemannian map to be Clairaut. Further, we discuss the biharmonicity of such maps and construct some illustrative examples. |
| title | Clairaut anti-invariant Riemannian maps to Sasakian manifolds |
| topic | Differential Geometry 53C15 (Primary), 53C25, 54C05 (Secondary) |
| url | https://arxiv.org/abs/2402.03129 |