Cut loci of submanifolds in space forms and in the geometries of Möbius and Lie

DOI10.1007/BF02179087zbMath0839.53040MaRDI QIDQ1900027

James J. Hebda

Publication date: 12 December 1995

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

cut locussymmetry setLie sphere geometryMöbius geometry

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (6)

What do cylinders look like? ⋮ A connection between cut locus, Thom space and Morse-Bott functions ⋮ Cut locus structures on graphs ⋮ On mean-convex Alexandrov embedded surfaces in the 3-sphere ⋮ Every graph is a cut locus ⋮ On typical degenerate convex surfaces

Cites Work

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• The local homology of cut loci in Riemannian manifolds
• Scattering of geodesic fields, I
• A class of Riemannian metrics on a manifold
• Connections between differential geometry and topology. II. Closed surfaces
• Decomposition of Cut Loci
• Möbius invariance of knot energy
• Lie sphere geometry. With applications to submanifolds

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