论文标题
简单封闭的大地测量学$ \ ge 3 $
Simple closed geodesics in dimensions $\ge 3$
论文作者
论文摘要
我们表明，对于紧凑的歧管$ m $尺寸的通用riemannian或可逆的Finsler度量，至少三个封闭的大地测量学都很简单，并且不会相互交流。 Using results by Contreras~\cite{C2010} \cite{C2011} this shows that for a generic Riemannian metric on a compact and simply-connected manifold all closed geodesics are simple and the number $N(t)$ of geometrically distinct closed geodesics of length $\le t$ grows exponentially.
We show that for a generic Riemannian or reversible Finsler metric on a compact differentiable manifold $M$ of dimension at least three all closed geodesics are simple and do not intersect each other. Using results by Contreras~\cite{C2010} \cite{C2011} this shows that for a generic Riemannian metric on a compact and simply-connected manifold all closed geodesics are simple and the number $N(t)$ of geometrically distinct closed geodesics of length $\le t$ grows exponentially.
