In 1987, R. Miron introduced the concept of L-duality between Cartan
spaces and Finsler spaces (). The geometry of higher order Finsler spaces
were sudied in ( , ). The theory of higher order Lagrange and Hamilton
spaces were discussed in ( ,  , ). Some special problems concerning the Lduality and classes of Finsler spaces were studied in ( , ). In ( ,  , ) the L-duals of Randers, Kropina and Matsumoto space were introduced. The L-dual of an (α, β) Finsler space was introduced in  .In this paper we give
the L-dual of a generalized m-Kropina Space.
Keywords and Phrases : Generalized m-Kropina space, Finsler space, Cartan
space, the duality between Finsler and Cartan spaces.
AMS Subject Classification : : 53B40, 53C60
Received date : : 22 September, 2010
Accepted date: January 13, 2011
cited by: J.T.S. Vol. 5 (2011), pp.15-25