Remarks on manifolds with two sided curvature bounds

2021/01/08 by Kapovitch, Vitali, Lytchak, Alexander · 1 citation
#53C20 #53C21 #53C23 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2101.03050

Abstract

We discuss folklore statements about distance functions in manifolds with two sided bounded curvature. The topics include regularity, subsets of positive reach and the cut locus.

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• Zero Probability of the Cut Locus of a Fréchet Mean on a Riemannian Manifold

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