A Topological Gap Theorem and Inverse Mean Curvature Flow
Date:
Friday, 14 July, 2023 - 10:30 - 12:00
Venue:
https://cuhk.zoom.us/j/95988240027 (Passcode is six numbers: five-four-nine-seven-zero-eight)
Seminar Type:
CUHK-CUNY-2023 Compactness and Scalar Curvature Workshop
Speaker Name:
Dr. Kai XU
Affiliation:
Duke University
Abstract:
Given a closed orientable 3-manifold M with scalar curvature greater or equal than 1, it is
well-known that if π2(M)≠0 then the π2-systole of M is at most 8π . We prove the following
gap theorem: if M is further not a quotient of S2×S1, then the π2-systole of M is no greater
than an improved constant c≈5.44π. This statement follows as a new application of Huisken
and Ilmanen's weak inverse mean curvature flow. See https://arxiv.org/abs/2307.01922.
Poster:
