Geometric Analysis Seminar

Wednesday, December 06, 2017 at 4:00pm to 6:00pm

2-131

Chao Li (Stanford)

Title: "A polyhedron comparison theorem in positive scalar curvature"

Abstract: We establish a comparison theorem for polyhedra in 3-manifolds with nonnegative scalar curvature, answering affirmatively a dihedral rigidity conjecture by Gromov. For a large collections of polyhedra with interior non-negative scalar curvature and mean convex faces, we prove the dihedral angles along its edges cannot be everywhere less or equal than those of the corresponding Euclidean model, unless it is a isometric to a flat polyhedron.

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

Public

Events By School

School of Science

Department

Department of Mathematics

Add to my calendar

Recent Activity