Special Finsler spaces admitting a semi-concurrent vector field
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915012638932992 |
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| author | Rajeshwari, M. R. Narasimhamurthy, S. K. Manjunatha, H. M. |
| author_facet | Rajeshwari, M. R. Narasimhamurthy, S. K. Manjunatha, H. M. |
| contents | The main objective of this paper is to study semi-concurrent vector fields on a Finsler manifold. We show that the quasi-$C$-reducible Finsler space, $C3$-like Finsler space, $C^{h}$-recurrent Finsler space, and $P2$-like Finsler space are equivalent to Riemannian if they admit a semi-concurrent vector field. Further, we prove the necessary and sufficient condition for a Finsler space satisfying $C$-conformal condition to become Riemannian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06233 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Special Finsler spaces admitting a semi-concurrent vector field Rajeshwari, M. R. Narasimhamurthy, S. K. Manjunatha, H. M. Differential Geometry 53B40, 53Z05 The main objective of this paper is to study semi-concurrent vector fields on a Finsler manifold. We show that the quasi-$C$-reducible Finsler space, $C3$-like Finsler space, $C^{h}$-recurrent Finsler space, and $P2$-like Finsler space are equivalent to Riemannian if they admit a semi-concurrent vector field. Further, we prove the necessary and sufficient condition for a Finsler space satisfying $C$-conformal condition to become Riemannian. |
| title | Special Finsler spaces admitting a semi-concurrent vector field |
| topic | Differential Geometry 53B40, 53Z05 |
| url | https://arxiv.org/abs/2411.06233 |