Vanishing S-curvature of Randers spaces
Differential Geometry
2022-04-19 v2
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.
Cite
@article{arxiv.0909.1399,
title = {Vanishing S-curvature of Randers spaces},
author = {Shin-ichi Ohta},
journal= {arXiv preprint arXiv:0909.1399},
year = {2022}
}
Comments
7 pages (no change from v1); Corrigendum is available at http://www4.math.sci.osaka-u.ac.jp/~sohta/ ; See also my book "Comparison Finsler geometry" https://link.springer.com/book/10.1007/978-3-030-80650-7