ON THE L-DUALITY OF A FINSLER SPACE WITH (\alpha,\beta )-METRIC (\alpha+\beta)^2/{\alpha}

Abstract

The geometry of higher order Finsler spaces were studied in ([1], [6], [10]). The theory of higher order Lagrange and Hamilton spaces were discussed in ([8], [9],[11]). Some special problems concerning the L-duality and classes of Finsler spaces were studied in ([3], [13]) . Various geometers such as ([2], [3], [4]) etc. have studied the L-dual of Randers, Kropina and Matsumoto space. In this paper we have obtained the L-dual of a special (\alpha,\beta )-metric (\alpha +\beta )^2/(\alpha). .

Keywords

• Finsler space
• Cartan space
• the duality between Finsler and Cartan spaces