Monotonicity Formulas for Bakry-Emery Ricci Curvature
Presenter
August 30, 2013
Keywords:
- Monge mass transport
- Monge-Ampere equation
- optimal transport
- non-linear PDE
- Ricci curvature
- nonnegative curvature
- Ricci curvature lower bounds
MSC:
- 34B10
- 37-xx
- 37Fxx
- 37Gxx
- 32W20
- 82C70
- 32Q05
- 32Qxx
- 32Q15
- 49Q05
Abstract
In the recent papers, Colding and Colding-Minicozzi introduced several new monotonity formulas for manifolds with nonnegative Ricci curvature. We extend these to Bakry-Emery Ricci curvature and obtain some new families of monotonocity formulas. This is a joint work with Bingyu Song and Guoqiang Wu.