Energy <i>β</i>-Conformal Change and Special Finsler Spaces

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, C 0-recurrent, S v-recurrent, quasi-C-reducible, semi-C-reducible, C-reducible, P-reducible, C 2-like, S 3-like, P 2-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.