General Randers Spaces

Abstract

The Finsler spaces with the fundamental function where F(x, y) $\sqrt {{a_{ij}}\left( x \right){y^i}{y^i}} + {b_i}\left( x \right){y^i},\left( {x,y} \right) \in \widetilde {TM} = TM\backslash \left\{ O \right\},$ Where a _ij (x) is a Riemannian metric tensor, were introduced by R.G. Ingarden, [4], [1]. These were suggested by Randers’ studies [8] on the geometrical model of the gravitational and electromagnetic fields, a reason to call them “Randers spaces”.