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math.DGJul 2, 2020
17
citations (OpenAlex)
authors
  • Vitali Kapovitch
  • Alexander Lytchak
institutions
  • University of Cologne
  • University of Toronto
arXiv abstractPDF
paper

Structure of Submetries

arXiv:2007.01325 · doi:10.2140/gt.2022.26.2649

Abstract

We investigate the geometric and topological structure of equidistant decompositions of Riemannian manifolds.

References in corpus (13)

  • Metric measure spaces with Riemannian Ricci curvature bounded from below
  • Semiconcave functions in Alexandrov's geometry
  • On quotients of spaces with Ricci curvature bounded below
  • Orientation and symmetries of Alexandrov spaces with applications in positive curvature
  • On the structure of sets with positive reach
  • Isometry groups of Alexandrov spaces
  • Focal Radius, Rigidity, and Lower Curvature Bounds
  • Singular Riemannian foliations and applications to positive and nonnegative curvature
  • Metric-measure boundary and geodesic flow on Alexandrov spaces
  • Orbifolds from a metric viewpoint
  • Bipolar comparison
  • Topological regularity of spaces with an upper curvature bound
  • Quantitative Estimates on the Singular Sets of Alexandrov Spaces

Cited by in corpus (1)

  • Actions on positively curved manifolds and boundary in the orbit space
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