科研之友
微信
新浪微博
Facebook
分享链接
摘要
Let Y be a Gromov-Hausdorff limit of complete Riemannian n-manifolds with Ricci curvature bounded from below. A point in Y is called k-regular, if its tangent is unique and is isometric to a k-dimensional Euclidean space. By Cheeger-Colding and Colding-Naber, there is k > 0 such that the set of all k-regular point R (k) has a full renormalized measure. An open problem is if R (l) = for all l < k? The main result in this paper asserts that if R (1) not equal , then Y is a one-dimensional topological manifold.
- 出版日期2016-2
- 单位首都师范大学
