On Generalized Randers Manifolds
| dc.creator | Tamim, Aly A. | |
| dc.creator | Youssef, Nabil L. | |
| dc.date | 2006-07-22 | |
| dc.date.accessioned | 2026-07-07T07:20:49Z | |
| dc.date.available | 2026-07-07T07:20:49Z | |
| dc.description | By a Randers' structure on a manifold $M$ we mean a Finsler structure $L^*=L+α$, where $L$ is a Riemannian structure and $α$ is a 1-form on $M$. This structure was first introduced by Randers ~\cite{[8]} from the standpoint of general relativity. In this paper, we replace $L$ by a Finsler structure, calling the resulting manifold a generalized Randers manifold. On one hand, we develop in some depth generalized Randers manifolds. On the other hand, we apply the results obtained in a foregoing paper ~\cite{[12]} to generalized Randers manifolds to obtain some new results in that domain. Among many results, we establish a necessary and sufficient condition for a generalized Randers manifold to be a general Landsberg manifold. It should be noticed that our approach is in general a global one. | |
| dc.description | 10 pages, LaTeX file | |
| dc.identifier | https://arxiv.org/abs/math/0607572 | |
| dc.identifier | http://arxiv.org/abs/math/0607572 | |
| dc.identifier | Alg.Groups Geom. 16 (1999) 115-126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115087 | |
| dc.subject | Differential Geometry | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | 53C60, 58B20 | |
| dc.title | On Generalized Randers Manifolds | |
| dc.type | text |