The length of the cut locus on convex surfaces

DOI10.4213/im9485ezbMath1548.53084MaRDI QIDQ6568715

Liping Yuan, Tudor I. Zamfirescu

Publication date: 8 July 2024

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

diametercut locusconvex surfaces

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Cites Work

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• The length of a cut locus on a surface and Ambrose's problem
• Many endpoints and few interior points of geodesics
• Metric structure of cut loci in surfaces and Ambrose's problem
• On the cut locus in Alexandrov spaces and applications to convex surfaces
• A.D. Alexandrov spaces with curvature bounded below
• Extreme points of the distance function on convex surfaces
• On the Length of the Cut Locus for Finitely Many Points

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