On the sum of distances betweenn points on a sphere. II

DOI10.1007/BF01895852zbMath0375.52010OpenAlexW1970271822MaRDI QIDQ4155417

Ralph Alexander

Publication date: 1977

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01895852

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Integral geometry (53C65) Geometry of numbers (11H99)

Related Items (5)

On stars and Steiner stars ⋮ Geometric methods in the study of irregularities of distribution ⋮ Local critical analysis of inequalities related to the sum of distances between \(n\) points on the unit hemisphere for \(n=4,5\) ⋮ Spherical distribution of 5 points with maximal distance sum ⋮ Distributing many points on spheres: minimal energy and designs

Cites Work

• Distributions of positive mass, which maximize a certain generalized energy integral
• Generalized sums of distances
• On the sum of distances determined by a pointset
• Extremal Problems of Distance Geometry Related to Energy Integrals
• Spherical Distributions of N Points with Maximal Distance Sums are well Spaced
• Sums of Distances Between Points on a Sphere. II
• On the sum of distances betweenn points on a sphere

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