Monday, June 10th at 4:20 pm. DIM seminar room, Beauchef 851, 5th floor.

Speaker: Tiarlos Cruz from the Universidade Federal de Alagoas

Title: «Scalar curvature, mean curvature and static metrics»

Abstract: In this talk, I will discuss some recent developments on static manifolds. We also consider static manifolds with nonempty boundary. In this case, we suppose that the potential satisfies an overdetermined Robin type condition on the boundary. We prove a rigidity theorem for the Euclidean closed unit ball in the Euclidean space. More precisely, we give a sharp upper bound for the area of the zero set of the potential. This is a joint work with Ivaldo Nunes.