Energy β-Conformal Change and Special Finsler Spaces

Amr Soleiman, Amira A. Ishan

Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt.
Department of Mathematics, Taif University, Makkah, KSA.

DOI: 10.4236/jmp.2013.47132                

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, C^h-recurrent, C^v-recurrent, C⁰-recurrent, S^v-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; C^h-Recurrent; C^v-Recurrent; C⁰-Recurrent; C₂-Like; Quasi-C-Reducible; C-Reducible; Berwald Space; S^v-Recurrent; S₃-Like; P₂-Like; h-Isotropic

Conflicts of Interest

The authors declare no conflicts of interest.

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