论文标题
填充半径上的上和下限
Upper and lower bounds on the filling radius
论文作者
论文摘要
我们为所有闭合的riemannian歧管的填充半径以及歧管上的曲率下限提供了曲率依赖性的下限，这是riemannian浸没的总空间。后者也适用于子宫案例。我们还看到，Kuratowski嵌入消失的图像的覆盖率（从费德勒的意义上讲），我们通过给出了一些涉及K-Intermediate填充半径的不等式来结束。
We give a curvature dependent lower bound for the filling radius of all closed Riemannian manifolds as well as an upper one for manifolds which are the total space of a Riemannian submersion. The latter applies also to the case of submetries. We also see that the reach (in the sense of Federer) of the image of the Kuratowski embedding vanishes, and we finish by giving some inequalities involving the k-intermediate filling radius.
