Scalar Curvature Rigidity of Geodesic Balls in $S^n$
Scalar Curvature Rigidity of Geodesic Balls in $S^n$
In this paper, we prove a scalar curvature rigidity result for geodesic balls in $S^n$. This result contrasts sharply with the counterexamples to Min-Oo's conjecture constructed in "Deformations of the hemisphere that increase scalar curvature," Invent. Math. 185 (2011), 175–197.