Conformal $β$- change in Finsler spaces
| dc.creator | Abed, S. H. | |
| dc.date | 2006-02-18 | |
| dc.date | 2006-02-22 | |
| dc.date.accessioned | 2026-07-07T07:03:34Z | |
| dc.date.available | 2026-07-07T07:03:34Z | |
| dc.description | We investigate what we call a conformal $β$ - change in Finsler spaces, namely $$ L(x,y)\to ~^{\ast}L(x,y)=e^{σ(x)}L(x,y)+β(x,y)$$ where~$σ~$ is a function of $x~ only ~and ~ β(x, y)$ is a given 1- form. This change generalizes various types of changes: conformal changes, Randers changes and $β$ - changes. Under this change, we obtain the relationships between some tensors associated with $(M,L)$ and the corresponding tensors associated with $(M,{^\ast}L)$. We investigate some $σ$- invariant tensors . This investigation allows us to give an answer to the question: Are the properties of C-reducibility, $S_3$-likeness and $S_4$-likeness invariant under a conformal $β$ - change? | |
| dc.description | 9 pages, tex file | |
| dc.identifier | https://arxiv.org/abs/math/0602404 | |
| dc.identifier | http://arxiv.org/abs/math/0602404 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109023 | |
| dc.subject | Differential Geometry | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Conformal $β$- change in Finsler spaces | |
| dc.type | text |