Geometric Analysis and Mathematical Relativity Seminar ——A polyhedron comparison theorem for positive scalar curvature
主 题: Geometric Analysis and Mathematical Relativity Seminar ——A polyhedron comparison theorem for positive scalar curvature
报告人: Dr. Chao Li (Stanford University)
时 间: 2017-12-18 14:30-16:30
地 点: Room 1303, Science Building No. 1
W
e establish a polyhedron comparison theorem for 3-manifold with positive scalar curvature, answering a dihedral rigidity conjecture of Gromov. For a large family of polyhedra with nonnegative scalar curvature and mean convex faces, we prove its dihedral angles cannot be everywhere less than or equal to those of the Euclidean model, unless it is isometric to a flat polyhedron.
