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# The L-dual of a Generalized m-Kropina Space

Authors

Gauree Shanker

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 Lduality 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 (α, β) Finsler space was introduced in [12] .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