Analysis and Geometry in Metric Spaces (Jun 2021)

Remarks on Manifolds with Two-Sided Curvature Bounds

  • Kapovitch Vitali,
  • Lytchak Alexander

DOI
https://doi.org/10.1515/agms-2020-0122
Journal volume & issue
Vol. 9, no. 1
pp. 53 – 64

Abstract

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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.

Keywords