English

Integral bounds on curvature and Gromov-Hausdorff limits

Differential Geometry 2011-12-08 v1

Abstract

We develop a new approach to, and small extension of, results of Cheeger, Colding and Tian concerning the Lk/2L^{k/2} norm of the curvature of a Riemannian manifold Gromov-Hausdorff close to a codimension kk singularity.

Keywords

Cite

@article{arxiv.1112.1594,
  title  = {Integral bounds on curvature and Gromov-Hausdorff limits},
  author = {Xiuxiong Chen and Simon Donaldson},
  journal= {arXiv preprint arXiv:1112.1594},
  year   = {2011}
}