Talk page
Title:
Constrained deformations of manifolds with positive scalar curvature metrics
Speaker:
Abstract:
We present a series of results concerning the interplay between the scalar curvature of a manifold and the mean curvature of its boundary. In particular, we give a complete topological characterization of those compact 3-manifolds that support Riemannian metrics of positive scalar curvature and mean-convex boundary and, in any such case, we prove that the associated moduli space of metrics is path-connected. The methods we employ are flexible enough to allow the construction of continuous paths of positive scalar curvature metrics with minimal boundary, and to derive similar conclusions in that context as well. This talk is based on a joint work with Alessandro Carlotto.
Link:
Workshop: