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Title:
Local Isoperimetric Constant Estimate for Integral Ricci Curvature
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Abstract:
We obtain a local isoperimetric constant estimate for integral Ricci curvature, which enable us to extend several important tools like maximal principle, gradient estimate, heat kernel estimate and $L^2$ Hessian estimate to manifolds with integral Ricci lower bounds, including the collapsed case. This is a joint work with X. Dai and Z. Zhang
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