Energy β-conformal change in Finsler geometry
International Journal of Geometric Methods in Modern Physics • 2012
Publication Information
Authors
A. Soleiman
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
Publisher
Not Available
Volume
9
Issue
4
Pages
1250029 (21 pages)
publication.type
International
Paper Link
Not Available
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.
Staff Members - Benha University