Scalar curvature rigidity of geodesic balls in Sn

Simon Brendle; Fernando C. Marques

doi:10.4310/jdg/1321366355

Scalar curvature rigidity of geodesic balls in Sⁿ

Simon Brendle
, Fernando C. Marques

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

In this paper, we prove a scalar curvature rigidity result for geodesic balls in Sⁿ. This result contrasts sharply with the counterexamples to Min-Oo’s conjecture constructed in [7].

Original language	English (US)
Pages (from-to)	379-394
Number of pages	16
Journal	Journal of Differential Geometry
Volume	88
Issue number	3
DOIs	https://doi.org/10.4310/jdg/1321366355
State	Published - 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology

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Scalar curvature rigidity of geodesic balls in Sⁿ

Abstract

All Science Journal Classification (ASJC) codes

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