NONHOLONOMIC FRAMES FOR FINSLER SPACE WITH DEFORMED MATSUMOTO METRIC

The purpose of present paper is to find the nonholonomic frames for the deformed Matsumoto type metric which are given in the forms I. ( α 2 α−β )α = α 3 α−β II. ( α 2 α−β )β = α 2β α−β where α 2 = aij (x)y i y j and β = bi(x)y i . The first metric of the above deformation is obtained by the product of Matsumoto and Riemannian metric and second one is the product of Matsumoto and 1-form metric.