Abstract
This work is a continuation of the paper [Generalized beta-conformal change of Finsler metrics, Int. J. Geom. Meth. Mod. Phys. 7(4) (2010) 565-582]. In the present paper, we investigate the change of Finsler metrics
L(x, y) -> (L) over bar (x, y) = f(e(sigma(x)) L(x, y), beta(x, y)),
which we refer to as a generalized beta-conformal change. Under this change, we study some special Finsler spaces, namely, quasi-C-reducible, semi-C-reducible, C-reducible, C-2-like, S-3-like and S-4-like Finsler spaces. We obtain some characterizations of the energy beta-change, the Randers change and the Kropina change. We also obtain the transformation of the T-tensor under this change and study some interesting special cases. We then impose a certain condition on the generalized beta-conformal change, which we call the b-condition, and investigate the geometric consequences of such a condition. Finally, we give the conditions under which a generalized beta-conformal change is projective and generalize some known results in the literature.