Completeness and constant width in spherical and hyperbolic spaces

DOI10.1007/BF01874493zbMath0867.52001OpenAlexW2020451100MaRDI QIDQ1911361

Boris V. Dekster

Publication date: 10 July 1997

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01874493

zbMATH Keywords

completenessEuclidean spacehyperbolic spacespherical spaceconstant widthJFM 42.0091.01

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (11)

Spherical Geometry—A Survey on Width and Thickness of Convex Bodies ⋮ Constant width and transnormality in spheres ⋮ Complete sets in normed linear spaces ⋮ On a strengthening of the Blaschke-Leichtweiss theorem ⋮ Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space ⋮ Stability of the isodiametric problem on the sphere and in the hyperbolic space ⋮ Width of convex bodies in spaces of constant curvature ⋮ Illuminating spindle convex bodies and minimizing the volume of spherical sets of constant width ⋮ On variational problems related to steepest descent curves and self-dual convex sets on the sphere ⋮ On the isodiametric and isominwidth inequalities for planar bisections ⋮ The illumination conjecture for spindle convex bodies

Cites Work

• Unnamed Item
• In- and circumcenters of manifolds of constant width
• Large spherical simplexes

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