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Dr. Amr Soleiman Mahmoud Hassan :: Publications: |
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| Title: | Energy β-conformal change in Finsler geometry
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| 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 | Amr Soleiman Mahmoud Hassan_Ener.Beta.change (paper 2).pdf |
| 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. |
