Abstract
In this paper, we introduce and investigate a general transformation or change of Finsler metrics, which is referred to as a generalized beta-conformal change:
L(x, y) -> (L) over bar (x, y) = f(e(sigma(x))L(x,y), beta(x,y)).
This transformation combines both beta-change and conformal change in a general setting. The change, under this transformation, of the fundamental Finsler connections, together with their associated geometric objects, are obtained. Some invariants and various special Finsler spaces are investigated under this change. The most important changes of Finsler metrics existing in the literature are deduced from the generalized beta-conformal change as special cases.