| publication name | Energy β-conformal change in Finsler geometry |
|---|---|
| Authors | A. Soleiman |
| year | 2012 |
| keywords | Energy β-conformal change; concurrent π-vector field; canonical spray; Barthel connection; Cartan connection; Berwald connection; Chern connection; Hashiguchi connection. |
| journal | International Journal of Geometric Methods in Modern Physics |
| volume | 9 |
| issue | 4 |
| pages | 1250029 (21 pages) |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
The present paper deals with a nontrivial generalization of both the conformal change and the energy β-change of a Finsler manifold (M,L). Using the notion of a concurrent π-vector field in Finsler geometry, we have introduced and investigated a new change, which we call “energy β-conformal change”. Interesting results of Finsler geometry corresponding to this change are obtained. These results, among others, generalize the results of the conformal change and the energy β-change in Finsler geometry. It is worth noting that the obtained results are formulated in a prospective modern coordinate-free form.