Scalar curvature rigidity of geodesic balls in S^n
Differential Geometry
2010-05-18 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this paper, we prove a scalar curvature rigidity result for geodesic balls in S^n. This result contrasts sharply with the recent counterexamples to Min-Oo's conjecture for the hemisphere (cf. [5]).
Cite
@article{arxiv.1005.2782,
title = {Scalar curvature rigidity of geodesic balls in S^n},
author = {S. Brendle and F. C. Marques},
journal= {arXiv preprint arXiv:1005.2782},
year = {2010}
}