Abstract
Isotropic Berwald metrics are as a generalization of Berwald metrics. Shen proved that every Berwald metric is of vanishing S-curvature. In this paper, we generalize this fact and prove that every isotropic Berwald metric is of isotropic S-curvature. Let F = α + β be a Randers metric of isotropic Berwald curvature. Then it corresponds to a conformal vector field through navigation representation.
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Tayebi, A., Rafie-Rad, M. S-curvature of isotropic Berwald metrics. Sci. China Ser. A-Math. 51, 2198–2204 (2008). https://doi.org/10.1007/s11425-008-0095-y
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DOI: https://doi.org/10.1007/s11425-008-0095-y