Energy β-Conformal Change and Special Finsler Spaces

Amr  Soleiman; Amira A.  Ishan

doi:10.4236/jmp.2013.47132

Amr Soleiman^*, Amira A. Ishan

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.

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

Cite this paper: A. Soleiman and A. Ishan, "Energy β-Conformal Change and Special Finsler Spaces," Journal of Modern Physics, Vol. 4 No. 7, 2013, pp. 983-990. doi: 10.4236/jmp.2013.47132.

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