On Finsler metrics with vanishing S-curvature

Authors: AKBAR TAYEBI, HASSAN SADEGHI, ESMAEIL PEYGHAN

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.

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

Full Text: PDF