Local Isoperimetric Constant Estimate for Integral Ricci Curvature
Connections for Women: Differential Geometry January 14, 2016 - January 15, 2016
Location: MSRI: Simons Auditorium
differential geometry
Manifolds
curvature
geodesic flow
Ricci curvature
L^2 estimates
heat kernel
53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C44 - Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
54A20 - Convergence in general topology (sequences, filters, limits, convergence spaces, etc.)
14420
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
|
Wei Notes
|
Download |
14420
| H.264 Video |
14420.mp4
|
Download |
Please report video problems to itsupport@msri.org.
See more of our Streaming videos on our main VMath Videos page.