A parametrized compactness theorem under bounded Ricci curvature
Differential Geometry
2017-11-21 v2
Abstract
We prove a parametrized compactness theorem on manifolds of bounded Ricci curvature, upper bounded diameter and lower bounded injectivity radius.
Keywords
Cite
@article{arxiv.1710.03423,
title = {A parametrized compactness theorem under bounded Ricci curvature},
author = {Xiang Li and Shicheng Xu},
journal= {arXiv preprint arXiv:1710.03423},
year = {2017}
}
Comments
17 pages. Final version to appear in Front. Math. China. Reformulation of Theorem B to Corollary 1, adding some remarks, changing the precompactness in Corollary 1.3 (now Corollary 2) to $C^{0,\alpha}$-norm, and correcting some typos