On the L-duality of Higher Order Finsler spaces with (α, β)-metric
Gauree Shanker *
Department of Mathematics and Statistics, Banasthali University, Banasthali Rajasthan-304022, India.
Vijeta Singh
Department of Mathematics and Statistics, Banasthali University, Banasthali Rajasthan-304022, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper we have constructed Randers, Kropina and Matsumoto space of order-k and their L-duals respectively, using the concepts of higher order(order k) Riemmanian, Finsler, Lagrangian structures and Legendre transformation.
Keywords: Finsler space of order k, cartan space of order k, L-duality, legendre mapping.