论文标题
在奇数尺寸的球体上的两个短封闭的大地测量学
Two short closed geodesics on a sphere of odd dimension
论文作者
论文摘要
我们表明,对于奇数尺寸$ n = 2m-1 \ ge 3 $的开放式且密集的非可逆鳍指标,有第二个封闭的地理位置,带有Morse Index $ \ le 4(m+2)(M+2)+2。$ 2
We show that for an open and dense set non-reversible Finsler metrics on a sphere of odd dimension $n=2m-1 \ge 3$ there is a second closed geodesic with Morse index $\le 4(m+2)(m-1)+2.$