Scalar curvature rigidity of geodesic balls in S^n

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]).

Cited by in corpus (5)

• Rigidity phenomena involving scalar curvature
• Dihedral rigidity of parabolic polyhedrons in hyperbolic spaces
• Metrics of positive scalar curvature and unbounded widths
• Rigidity of area-minimizing hyperbolic surfaces in three-manifolds
• Remarks on a scalar curvature rigidity theorem of Brendle and Marques