论文标题
可逆的Finsler 2-Spheres上的封闭的大地测量学
Closed geodesics on reversible Finsler 2-spheres
论文作者
论文摘要
我们将两种封闭的Riemannian 2-Spheres的封闭地球学定理扩展到了更大的可逆Finsler 2范围的较大类别：Lusternik-Schnirelmann的定理，宣称存在三个简单的封闭的大地测量学，以及Bangert-Franks-Franks-Hhingston的理论上的无限封闭的Geodesicics，这是许多封闭的Geodesicics。为了证明第一个定理，我们采用了Grayson曲线缩短流量的概括。
We extend two celebrated theorems on closed geodesics of Riemannian 2-spheres to the larger class of reversible Finsler 2-spheres: Lusternik-Schnirelmann's theorem asserting the existence of three simple closed geodesics, and Bangert-Franks-Hingston's theorem asserting the existence of infinitely many closed geodesics. In order to prove the first theorem, we employ the generalization of Grayson's curve shortening flow developed by Angenent-Oaks.
