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Dergiler / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 1

On Finsler metrics with vanishing S-curvature

Akbar TAYABI, Hassan SADEGHI, Esmaeil PEYGHAN

Sayfa
154–165
DOI
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Özet

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.

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.

Anahtar kelimeler: (a, b)-metric, Berwald metric, S-curvature