Perpetual cutoff method and discrete Ricci curvature
- Florentin Münch (Universität Potsdam, Germany)
We start giving an overview of Bakry-Emery and Ollivier curvature and corresponding gradient estimates which require global curvature bounds.
We then introduce the perpetual cutoff method to give gradient estimates requiring the curvature bound not everywhere. As an application, we give a sharp distance bound to the set where no curvature bound is assumed.