Lagrange Spaces with (γ, β)-Metric. (30th January 2013)

• Record Type: Journal Article
• Authors: Shukla, Suresh K.; Pandey, P. N.
• Other Names: He Matthew Academic Editor.
• Is Part Of: Geometry. Volume 2013(2013)
• Publication Date: 2013-01-30
• Subjects: Geometry -- Periodicals; Geometry; Periodicals; 516
• DOI: 10.1155/2013/106393
• Languages: English
• ISSNs: 2314-422X

Abstract

Abstract : We study Lagrange spaces with ( γ, β ) -metric, where γ is a cubic metric and β 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 ( γ, β ) -metric. Several other properties of such space are also discussed.