Sums of distances between points of a sphere

DOI10.1155/S0161171282000647zbMath0502.52013MaRDI QIDQ1172816

Glyn Harman

Publication date: 1982

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45029

zbMATH Keywords

extremal problemsuniform distributiongeometric inequalitiespoints on a sphere

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Irregularities of distribution, discrepancy (11K38)

Related Items (4)

Local critical analysis of inequalities related to the sum of distances between \(n\) points on the unit hemisphere for \(n=4,5\) ⋮ Problems, problems, problems ⋮ Spherical distribution of 5 points with maximal distance sum ⋮ Distributing many points on spheres: minimal energy and designs

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