TITLE:
Energy β-Conformal Change and Special Finsler Spaces
AUTHORS:
Amr Soleiman, Amira A. Ishan
KEYWORDS:
Energy β-Conformal Change; Ch-Recurrent; Cv-Recurrent; C0-Recurrent; C2-Like; Quasi-C-Reducible; C-Reducible; Berwald Space; Sv-Recurrent; S3-Like; P2-Like; h-Isotropic
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.7,
July
12,
2013
ABSTRACT: The main aim of the present paper is to establish an intrinsic
investigation of the energy β-conformal
change of the most important special Finsler spaces, namely, Ch-recurrent,
Cv-recurrent, C0-recurrent, Sv-recurrent,
quasi-C-reducible, semi-C-reducible, C-reducible, P-reducible, C2-like,
S3-like, P2-like and h-isotropic, ···, etc. Necessary
and sufficient conditions for such special Finsler manifolds to be invariant
under an energy β-conformal change
are obtained. It should be pointed out that the present work is formulated in a
prospective modern coordinate-free form.