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# Local Isoperimetric Constant Estimate for Integral Ricci Curvature

## Connections for Women: Differential Geometry January 14, 2016 - January 15, 2016

January 15, 2016 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Guofang Wei (University of California, Santa Barbara)
Location: MSRI: Simons Auditorium
Tags/Keywords
• differential geometry

• Manifolds

• curvature

• geodesic flow

• Ricci curvature

• L^2 estimates

• heat kernel

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

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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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