Ricci curvature meets sub-Riemannian geometry

Speaker: PAN Jiayin

Avenue: Online

    Tencent Meeting ID: 324-158-036

Abstract:

I had a short conversation with Richard Montgomery. It led to a  surprising connection between Ricci curvature and sub-Riemannian geometry:  Pan-Wei's example of Ricci limit space is isometric to half of the Grushin plane, a classical example in sub-Riemannian geometry. Inspired by this  connection, we construct the Grushin hemisphere as a Ricci limit space with  curvature >=1.