Compactness Theorem for Rotationally Symmetric Riemannian Manifolds with Positive Scalar Curvature. Part 2

Wenchuan Tian

Gromov and Sormani conjectured that sequences of compact Riemannian manifolds with nonnegative scalar curvature and area of minimal surfaces bounded below should have subsequences which converge in the intrinsic flat sense to limit spaces which have nonnegative generalized scalar curvature and Euclidean tangent cones almost everywhere. In a joint work with Jiewon Park and Changliang Wang, we confirm this conjecture in the rotationally symmetric case. We will report this work in two short talks, and this is the first of them.

http://scgp.stonybrook.edu/video_portal/video.php?id=4072

Simons- Workshop: Convergence and Low Regularity in General Relativity