Farthest points and cut loci on some degenerate convex surfaces

zbMath1103.52014MaRDI QIDQ1882449

Jin-ichi Itoh, Costin Vîlcu

Publication date: 1 October 2004

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

shortest pathcut locusabstract polytopal complexdegenerate complex

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Polyhedral manifolds (52B70)

Related Items (7)

Cut locus realizations on convex polyhedra ⋮ Every graph is a cut locus ⋮ On typical degenerate convex surfaces ⋮ Common maxima of distance functions on orientable Alexandrov surfaces ⋮ Antipodal convex hypersurfaces ⋮ The intrinsic diameter of the surface of a parallelepiped ⋮ Criteria for farthest points on convex surfaces

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