Kropina 度量的连接测地与闭测地
微分几何
2022-08-05 v2 广义相对论与量子宇宙学
摘要
我们证明了关于赋予 Kropina 度量的流形上连接测地与闭测地存在性的一些结果。这些结果对赋予零 Killing 向量场的时空的零测地以及具有临界风的 Zermelo 导航问题均有应用。
引用
@article{arxiv.2103.16912,
title = {Connecting and closed geodesics of a Kropina metric},
author = {Erasmo Caponio and Fabio Giannoni and Antonio Masiello and Stefan Suhr},
journal= {arXiv preprint arXiv:2103.16912},
year = {2022}
}
备注
16 pages, AMSLaTex; v2 matches the published version. A misprint present in the statement of both Th. 5.1 and Cor. 5.2 fixed (they are Th 4.1 and Cor. 4.2 in v1); a correction in the statement of Lemma 3.2 (it is Lemma 2.2 in v1) done; these corrections are not present in the published version