Vanishing S-curvature of Randers spaces

Vanishing S-curvature of Randers spaces
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DOI:
10.1016/j.difgeo.2010.12.007
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发表时间:
2009-09
影响因子:
0.5
通讯作者:
Shin-ichi Ohta
Shin-ichi Ohta
中科院分区:
数学4区
文献类型:
--
作者:
Shin-ichi Ohta

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