Randers空间的S-曲率消失
微分几何
2022-04-19 v2
摘要
我们给出了Randers空间上存在一种测度使得Shen的S-曲率处处消失的充要条件。此外，该测度与Busemann-Hausdorff测度相差一个常数倍数。
引用
@article{arxiv.0909.1399,
title = {Vanishing S-curvature of Randers spaces},
author = {Shin-ichi Ohta},
journal= {arXiv preprint arXiv:0909.1399},
year = {2022}
}
备注
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