Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8905012 | Advances in Mathematics | 2018 | 33 Pages |
Abstract
We obtain a local Sobolev constant estimate for integral Ricci curvature, which enables us to extend several important tools such as the maximal principle, the gradient estimate, the heat kernel estimate and the L2 Hessian estimate to manifolds with integral Ricci lower bounds, without the non-collapsing conditions.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Xianzhe Dai, Guofang Wei, Zhenlei Zhang,