Lipschitz rigidity for scalar curvature

Bernhard Hanke

Let M be a closed connected smooth spin manifold of even dimension n, let g be a Riemannian metric of regularity W^{1,p}, p > n, on M whose distributional scalar curvature in the sense of Lee-LeFloch is bounded below by n(n-1), and let f : (M,g) \to S^n be a 1-Lipschitz continuous map of non-zero degree to the standard round n-sphere.

http://scgp.stonybrook.edu/video_portal/video.php?id=5335

Simons- Workshop: Recent Advances on Scalar Curvature Problems