Videos

Local Isoperimetric Constant Estimate for Integral Ricci Curvature

Presenter
January 15, 2016
Keywords:
  • differential geometry
  • manifolds
  • curvature
  • geodesic flow
  • Ricci curvature
  • L^2 estimates
  • heat kernel
MSC:
  • 53-xx
  • 53Cxx
  • 53C05
  • 53C07
  • 53C15
  • 53C22
  • 53C44
  • 54A20
  • 35K08
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.
Supplementary Materials