Browsing by Subject "(a, ß)-metric"

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    Einstein Finsler Metrics and Killing Vector Fields on Riemannian Manifolds
    (Springer, 2017-01) Cheng, Xinyue; Shen, Zhongmin; Department of Mathematical Sciences, School of Science
    We use a Killing form on a Riemannian manifold to construct a class of Finsler metrics. We find equations that characterize Einstein metrics among this class. In particular, we construct a family of Einstein metrics on S3 with Ric = 2F2, Ric = 0 and Ric = -2F2, respectively. This family of metrics provides an important class of Finsler metrics in dimension three, whose Ricci curvature is a constant, but the flag curvature is not.