The S-curvature of homogeneous Randers spaces

By Shaoqiang Deng. 2009

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Abstract In this paper, we give an explicit formula of the S-curvature of homogeneous Randers spaces and prove that a homogeneous Randers space with almost isotropic S-curvature must have vanishing S-curvature. As an application, we obtain a classification of homogeneous Randers space with almost isotropic S-curvature in some special cases. Some examples are also given.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/e4477c237309869772e909ad7a860068ef257f93