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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
  • 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



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

25483?type=thumb Wei Notes 237 KB application/pdf Download
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