Farthest points on convex surfaces

DOI10.1007/PL00004360zbMath0896.52005OpenAlexW2044598755MaRDI QIDQ1380112

Tudor I. Zamfirescu

Publication date: 21 September 1998

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004360

zbMATH Keywords

cut locusendpoint of a geodesic segment

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Convex sets in (3) dimensions (including convex surfaces) (52A15) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (13)

As many antipodes as vertices on convex polyhedra ⋮ Multiple farthest points on Alexandrov surfaces ⋮ On typical degenerate convex surfaces ⋮ Critical points on convex surfaces ⋮ Extreme points of the distance function on convex surfaces ⋮ Common maxima of distance functions on orientable Alexandrov surfaces ⋮ On antipodes on a convex polyhedron II ⋮ Antipodal trees and mutually critical points on surfaces ⋮ On the critical points of a Riemannian surface ⋮ The intrinsic diameter of the surface of a parallelepiped ⋮ Farthest points on most Alexandrov surfaces ⋮ Criteria for farthest points on convex surfaces ⋮ Symmetry and the farthest point mapping on convex surfaces

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