A class of Finsler metrics admitting first integrals

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. This class includes Finsler metrics of constant flag curvature. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

In this study, two non-Riemannian curvature tensors, chi-curvature and mean Berwald curvature, are used to characterize a class of Finsler metrics with first integrals. This class also encompasses Finsler metrics of constant flag curvature.