论文标题
第二个封闭的大地测量,基本组和通用的鳍指标
The second closed geodesic, the fundamental group, and generic Finsler metrics
论文作者
论文摘要
对于具有无限基本组的紧凑型歧管,我们提出了足够的拓扑或度量条件,以确保存在两个几何截然不同的封闭地球学。我们还展示了如何将有关通用riemannian指标的结果传递给Finsler指标。
For compact manifolds with infinite fundamental group we present sufficient topological or metric conditions ensuring the existence of two geometrically distinct closed geodesics. We also show how results about generic Riemannian metrics can be carried over to Finsler metrics.