Differential Geometry Seminar: A splitting theorem for scalar curvature
Seminar | October 15 | 3:10-4 p.m. | 939 Evans Hall
Otis Chodosh, Princeton
This is joint work with M. Eichmair and V. Moraru. We prove that if a 3-manifold with non-negative scalar curvature contains an absolutely area-minimizing cylinder then the ambient manifold is flat. This can be seen as a scalar curvature analogue of the Cheeger–Gromoll splitting theorem for Ricci curvature.