Table of Contents
Volume 2013, Article ID 106393, 7 pages
Research Article

Lagrange Spaces with -Metric

Department of Mathematics, University of Allahabad, Allahabad 211002, India

Received 31 October 2012; Accepted 9 January 2013

Academic Editor: Matthew He

Copyright © 2013 Suresh K. Shukla and P. N. Pandey. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study Lagrange spaces with -metric, where is a cubic metric and is a 1-form. We obtain fundamental metric tensor, its inverse, Euler-Lagrange equations, semispray coefficients, and canonical nonlinear connection for a Lagrange space endowed with a -metric. Several other properties of such space are also discussed.