A class of Finsler metrics admitting first integrals

Abstract

We use two non-Riemannian curvature tensors, the $\chi$-curvature and the mean Berwald curvature to characterise a class of Finsler metrics admitting first integrals.

References in corpus (3)

• Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations
• A Recursive Scheme of First Integrals of the Geodesic Flow of a Finsler Manifold
• On sprays with vanishing X-curvature