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arXiv · 0909.1399

Vanishing S-curvature of Randers spaces

Shin-ichi Ohta
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Abstract

We give a necessary and sufficient condition on a Randers space for the existence of a measure for which Shen's S-curvature vanishes everywhere. Moreover, such a measure coincides with the Busemann-Hausdorff measure up to a constant multiplication.

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Shin-ichi Ohta. 2009-09-08. Vanishing S-curvature of Randers spaces. https://arxiv.org/abs/0909.1399

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