Critical points on convex surfaces

DOI10.1007/s00025-018-0777-xzbMath1390.52007OpenAlexW2792985499MaRDI QIDQ1743227

Tudor I. Zamfirescu

Publication date: 13 April 2018

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

Full work available at URL: https://doi.org/10.1007/s00025-018-0777-x

zbMATH Keywords

critical pointcut locusopen convex surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Convex sets in (3) dimensions (including convex surfaces) (52A15) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Cites Work

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• Many endpoints and few interior points of geodesics
• Farthest points on convex surfaces
• Every point is critical
• Extreme points of the distance function on convex surfaces
• Multiple farthest points on Alexandrov surfaces
• On the critical points of a Riemannian surface

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