Scalar curvature rigidity with a volume constraint
Differential Geometry
2011-11-18 v2
Abstract
Motivated by Brendle-Marques-Neves' counterexample to the Min-Oo's conjecture, we prove a volume constrained scalar curvature rigidity theorem which applies to the hemisphere.
Keywords
Cite
@article{arxiv.1109.2960,
title = {Scalar curvature rigidity with a volume constraint},
author = {Pengzi Miao and Luen-fai Tam},
journal= {arXiv preprint arXiv:1109.2960},
year = {2011}
}
Comments
Theorem 1.7 and Theorem 5.1 strengthened