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Integral bounds on curvature and Gromov-Hausdorff limits

Published 7 Dec 2011 in math.DG | (1112.1594v1)

Abstract: 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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