BIMSA > BIMSA General Relativity Seminar BIMSA General Relativity Seminar Scalar-curvature rigidity of small spherical caps with arbitrary fillings
Scalar-curvature rigidity of small spherical caps with arbitrary fillings
Organizers
Piotr Chrusciel , Puskar Mondal , Bowen Zhao
Speaker
Bowen Zhao
Time
Tuesday, November 10, 2026 4:30 PM - 5:30 PM
Venue
A3-3-301
Online
Zoom 712 322 9571 (BIMSA)
Abstract
We prove an analogue of Min-Oo's conjecture for sufficiently small spherical caps. For every dimension $n\ge3$, there is a radius $r_*(n)>0$ such that a smooth compact connected oriented Riemannian fill-in with the same intrinsic boundary metric as a round cap of radius $0 < r < r_*(n)$ in the unit sphere, and with scalar curvature and outward boundary mean curvature at least those of the cap, is isometric to that cap. This is joint work with Yiyue Zhang.
Speaker Intro
Bowen Zhao got her PhD from Yale University in December 2020. After a postdoc at BIMSA, she joined as Assistant Professor in 2025. She is interested in General relativity and Mathematical Physics and particularly problems about Black Hole.