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On some integral-geometric quantities related to transversality, curvature and visibility

2023/10/19 by Brazitikos, Silouanos, Carbery, Anthony, McIntyre, Finlay · 1 citation
#52A22 #52A39 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2310.12789

Abstract

We consider some integral-geometric quantities that have recently arisen in harmonic analysis and elsewhere, derive some sharp geometric inequalities relating them, and place them in a wider context.

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