论文标题
带有许多直径的besse射影空间
Besse projective spaces with many diameters
论文作者
论文摘要
众所周知，Blaschke歧管（Injectivity Radius等于直径）是Besse歧管（所有大地测量学均已关闭）。我们表明，有足够多直径的实现方向的贝斯歧管是Blaschke。我们还以直径为单位，以简单连接的歧管上的捏合曲率指标的最短闭合大地测量长度的长度提供边界。
It is known that Blaschke manifolds (where injectivity radius equals diameter) are Besse manifolds (where all geodesics are closed). We show that Besse manifolds with sufficiently many diameter realizing directions are Blaschke. We also provide bounds in terms of diameter on the length of the shortest closed geodesic for pinched curvature metrics on simply connected manifolds.
