Integral bounds on curvature and Gromov-Hausdorff limits

preprint2011arXivOpen access

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

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Integral bounds on curvature and Gromov-Hausdorff limits

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