Berwald metric

In this paper, we consider Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We these metrics with vanishing S-curvature. We find some conditions under which such a Finsler metric is Berwaldian or locally Minkowskian.

12p tuongvidanh 06-01-2019 16 1   Download

In this paper, we consider a class of Finsler metrics called generalized Berwald metrics which contains the class of Berwald metrics as a special case. We prove that every generalized Berwald metrics with non-zero scalar flag curvature or isotropic Berwald curvature is a Randers metric.

10p tuongvidanh 06-01-2019 18 1   Download