On the geometry of Clairaut warped product Riemannian maps
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913478807126016 |
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| author | Yadav, J. Shanker, G. |
| author_facet | Yadav, J. Shanker, G. |
| contents | In this paper, we introduce Clairaut warped product Riemannian maps. To study these kind of maps, first, we find the condition of geodesic of a regular curve. Then we obtain the conditions for a warped product Riemannian map to be Clairaut warped product Riemannian map. Further, we find the curvature tensor for this map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13446 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the geometry of Clairaut warped product Riemannian maps Yadav, J. Shanker, G. Differential Geometry 53B20, 53C42, 53C55 In this paper, we introduce Clairaut warped product Riemannian maps. To study these kind of maps, first, we find the condition of geodesic of a regular curve. Then we obtain the conditions for a warped product Riemannian map to be Clairaut warped product Riemannian map. Further, we find the curvature tensor for this map. |
| title | On the geometry of Clairaut warped product Riemannian maps |
| topic | Differential Geometry 53B20, 53C42, 53C55 |
| url | https://arxiv.org/abs/2408.13446 |