On the 2-systole of stretched enough positive scalar curvature metrics on \(\mathbb{S}^2\times\mathbb{S}^2\)

DOI10.3842/SIGMA.2020.136zbMath1461.53029arXiv2007.02705MaRDI QIDQ2223054

Thomas Richard

Publication date: 28 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.02705

zbMATH Keywords

scalar curvaturegeometric inequalitieshigher systoles

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

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Cites Work

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• Rigidity of area-minimizing two-spheres in three-manifolds
• Metric inequalities with scalar curvature
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• Rigidity of area-minimizing $2$-spheres in $n$-manifolds with positive scalar curvature

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