Killing frames and S-curvature of homogeneous Finsler spaces

Ming Xu; Shaoqiang Deng

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arXiv · 1310.6455

Killing frames and S-curvature of homogeneous Finsler spaces

Ming Xu·Shaoqiang Deng

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Abstract

In this paper, we first deduce a formula of S-curvature of homogeneous Finsler spaces in terms of Killing vector fields. Then we prove that a homogeneous Finsler space has isotropic S-curvature if and only if it has vanishing S-curvature. In the special case that the homogeneous Finsler space is a Randers space, we give an explicit formula which coincides with the previous formula obtained by the second author using other methods.

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Ming Xu, Shaoqiang Deng. 2013-10-24. Killing frames and S-curvature of homogeneous Finsler spaces. https://arxiv.org/abs/1310.6455

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