The Blaschke rolling theorem in Riemannian manifolds of bounded curvature

2024/04/03 by Drach, Kostiantyn · 3 citations
#Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2404.02739

Abstract

We generalize the classical Blaschke Rolling Theorem to convex domains in Riemannian manifolds of bounded sectional curvature and arbitrary dimension. Our results are sharp and, in this sharp form, are new even in the model spaces of constant curvature.

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