Some smooth applications of non-smooth Ricci curvature lower bounds
Analysis and Geometry Seminar
24th April 2018, 3:00 pm – 4:00 pm
Howard House, 2nd Floor Seminar Room
After a brief introduction to the synthetic notions of Ricci curvature lower bounds in terms of optimal transportation, due to Lott-Sturm-Villani, I will discuss some applications to smooth Riemannian manifolds. These include: rigidity and stability of Levy-Gromov inequality, an almost euclidean isoperimetric inequality motivated by the celebrated Perelman’s Pseudo-Locality Theorem for Ricci flow, and some geometric properties of quotients of smooth manifolds having Ricci curvature bounded below.