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math.DG2017
A parametrized compactness theorem under bounded Ricci curvature
Xiang Li, Shicheng Xu
We prove a parametrized compactness theorem on manifolds of bounded Ricci curvature, upper bounded diameter and lower bounded injectivity radius.
math.DG2017★ 6 cited
Local Estimate on Convexity Radius and decay of injectivity radius in a Riemannian manifold
Shicheng Xu
In this paper we prove the following pointwise and curvature-free estimates on convexity radius, injectivity radius and local behavior of geodesics in a complete Riemannian manifol…