论文标题
在正弯曲的2杆上最短闭合的大地测量长度的长度
The length of the shortest closed geodesic on positively curved 2-spheres
论文作者
论文摘要
我们表明，最短的闭合大地测量在2个球体上具有非阴性曲率的长度在上面的长度上方是直径的三倍。我们证明了具有捏合曲率的2秒的新等等不等式。这使我们能够在捏合曲率设置中最短的封闭地球封闭的长度上提高界限。
We show that the shortest closed geodesic on a 2-sphere with non-negative curvature has length bounded above by three times the diameter. We prove a new isoperimetric inequality for 2-spheres with pinched curvature; this allows us to improve our bound on the length of the shortest closed geodesic in the pinched curvature setting.
