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arXiv · 1707.02031

Integral Ricci curvature bounds for possibly collapsed spaces with Ricci curvature bounded from below

Michael Smith
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Abstract

Assuming a lower bound on the Ricci curvature of a complete Riemannian manifold, for $p< 1/2$ we show the existence of bounds on the local $L^p$ norm of the Ricci curvature that depend only on the dimension and which improve with volume collapse.

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Michael Smith. 2017-07-07. Integral Ricci curvature bounds for possibly collapsed spaces with Ricci curvature bounded from below. https://arxiv.org/abs/1707.02031

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