Two nonrelated Finsler structures on a manifold
| dc.creator | Tamim, Aly A. | |
| dc.creator | Youssef, Nabil L. | |
| dc.date | 2006-08-21 | |
| dc.date.accessioned | 2026-07-07T07:21:59Z | |
| dc.date.available | 2026-07-07T07:21:59Z | |
| dc.description | In the present paper, we consider two different {\em Finsler} structures $L$ and $L^*$ on the same base manifold $M$, with no relation preassumed between them. \par Introducing the $π$-tensor field representing the difference between the Cartan connections associated with $L$ and $L^*$, we investigate the conditions, to be satisfied by this $π$-tensor field, for the geometric objects associated with $L$ and $L^*$ to have the same properties. Among the items investigated in the paper, we consider the properties of being a geodesic, a Jacobi field, a Berwald manifold, a locally Minkowskian manifold and a Landsberg manifold. \par It should be noticed that our approach is intrinsic, i.e., it does not make use of local coordinate techniques. | |
| dc.description | 8 pages, LaTeX file | |
| dc.identifier | https://arxiv.org/abs/math/0608515 | |
| dc.identifier | http://arxiv.org/abs/math/0608515 | |
| dc.identifier | Rev. Roumaine Math. Pures Appl., Vol. 45, 4(2000), 713-722 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115499 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C60, 53B40 | |
| dc.title | Two nonrelated Finsler structures on a manifold | |
| dc.type | text |