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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.

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