The Jung theorem for spherical and hyperbolic spaces
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Publication:1911363
DOI10.1007/BF01874495zbMath0854.52002OpenAlexW1995178916WikidataQ29395983 ScholiaQ29395983MaRDI QIDQ1911363
Publication date: 21 April 1996
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01874495
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Inequalities and extremum problems involving convexity in convex geometry (52A40) Spherical and hyperbolic convexity (52A55) Helly-type theorems and geometric transversal theory (52A35)
Related Items (16)
Spherical Geometry—A Survey on Width and Thickness of Convex Bodies ⋮ On the Cardinality of Sets in $R^d$ Obeying a Slightly Obtuse Angle Bound ⋮ On the intrinsic volumes of intersections of congruent balls ⋮ On a strengthening of the Blaschke-Leichtweiss theorem ⋮ From \(r\)-dual sets to uniform contractions ⋮ Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space ⋮ Neighboring mapping points theorem ⋮ One-to-one projectability of closed surfaces in a spherical space ⋮ Illuminating spindle convex bodies and minimizing the volume of spherical sets of constant width ⋮ The isodiametric problem and other inequalities in the constant curvature 2-spaces ⋮ The Jung Theorem in metric spaces of curvature bounded above ⋮ Covering of a reduced spherical body by a disk ⋮ On the isodiametric and isominwidth inequalities for planar bisections ⋮ Volumetric bounds for intersections of congruent balls in Euclidean spaces ⋮ The illumination conjecture for spindle convex bodies ⋮ Condenser capacity and hyperbolic diameter
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