The L-dual of a Generalized m-Kropina Space

Gauree Shanker

doi:10.56424/jts.v5i01.10445

Gauree Shanker Department of Mathematics and Statistics, Banasthali University, Banasthali, Rajasthan-304022, India

DOI: https://doi.org/10.56424/jts.v5i01.10445

Keywords: Generalized m-Kropina space, Finsler space, Cartan space, the duality between Finsler and Cartan spaces.

Abstract

In 1987, R. Miron introduced the concept of L-duality between Cartan spaces and Finsler spaces ([5]) : The geometry of higher order Finsler spaces were sudied in ([1] ; [8]) : The theory of higher order Lagrange and Hamilton spaces were discussed in ([6] ; [7] ; [9]) : Some special problems concerning the L- duality and classes of Finsler spaces were studied in ([3] ; [13]) : In ([2] ; [10] ; [11]) the L-duals of Randers, Kropina and Matsumoto space were introduced. The L-dual of an (®; ¯) Finsler space was introduced in [12] :In this paper we give the L-dual of a generalized m-Kropina Space.