Open Access
July 2011 Scalar Curvature Rigidity of Geodesic Balls in $S^n$
Simon Brendle, Fernando C. Marcques
J. Differential Geom. 88(3): 379-394 (July 2011). DOI: 10.4310/jdg/1321366355


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.


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Simon Brendle. Fernando C. Marcques. "Scalar Curvature Rigidity of Geodesic Balls in $S^n$." J. Differential Geom. 88 (3) 379 - 394, July 2011.


Published: July 2011
First available in Project Euclid: 15 November 2011

zbMATH: 1237.53037
MathSciNet: MR2844438
Digital Object Identifier: 10.4310/jdg/1321366355

Rights: Copyright © 2011 Lehigh University

Vol.88 • No. 3 • July 2011
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