Lagrange Spaces with (γ,β)‎-Metric

Abstract EN

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.