关于具有大体量增长的非负曲率 Finsler 结构中的闭测地线
微分几何
2019-01-24 v3
摘要
我们证明，具有与基点无关的非负径向旗曲率且大体量增长的可逆 Berwald Finsler 结构 不存在任何闭测地线。
关键词
引用
@article{arxiv.1408.0214,
title = {On Closed Geodesics in Non-negatively Curved Finsler Structures with Large Volume Growth},
author = {Sajjad Lakzian},
journal= {arXiv preprint arXiv:1408.0214},
year = {2019}
}
备注
This paper is being withdrawn since our use of the comparison theorem for Finsler spaces was incorrect. However, we note that our conjecture was later proven by Martin Kell