On the 2-systole of stretched enough positive scalar curvature metrics on S 2 x S 2

2020/07/06 by Richard, Thomas · 2 citations
#Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2007.02705

Abstract

We use recent developments by Gromov and Zhu to derive an upper bound for the 2-systole of the homology class of S 2 x * in a S 2 x S 2 with a positive scalar curvature metric such that the set of spheres homologous to S 2 x * is wide enough in some sense.

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• A 2-systolic inequality on non-rational compact Kähler surfaces with positive scalar curvature
• Systolic Inequality and Scalar Curvature

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