On Homogeneous Randers Metrics

Authors : Akbar SADİGHİ, Megerdich TOOMANİAN, Behzad NAJAFİ

Pages : 217-225

Doi:10.36890/iejg.797112

View : 51 | Download : 9

Publication Date : 2021-04-15

Article Type : Research Paper

Abstract :In this paper, we study the curvature features of the class of homogeneous Randers metrics. For these metrics, we first find a reduction criterion to be a Berwald metric based on a mild restriction on their Ricci tensors. Then, we prove that every homogeneous Randers metric with relatively isotropic insert ignore into journalissuearticles values(or weak); Landsberg curvature must be Riemannian. This provides an extension of well-known Deng-Hu theorem that proves the same result for a homogeneous Berwald-Randers metric of non-zero flag curvature.
Keywords : Homogeneous metric

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