Gluing spaces that satisfy the Bakry-Emery condition

Abstract: I will present conditions such that the glued space of two weighted Riemannian manifolds with boundary and a Bakry-Emery lower Ricci curvature bound satisfies a curvature-dimension condition. For the case of classical Ricci lower bounds this follows from a theorem of Perelman. Moreover these conditions in return are implied by a curvature-dimension condition for the glued space, and this is new even for the unweighted case.

Mathematics

Audience: researchers in the topic

IUT Mathematics Research Seminars (IMRS)

Series comments: All researchers are welcomed!