Abstract

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

DOI

10.3906/mat-1210-60

Keywords

(\alpha, \beta)-metric, Berwald metric, S-curvature

First Page

154

Last Page

165

Recommended Citation

TAYEBI, A, SADEGHI, H, & PEYGHAN, E (2014). On Finsler metrics with vanishing S-curvature. Turkish Journal of Mathematics 38 (1): 154-165. https://doi.org/10.3906/mat-1210-60

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