A note on the metric geometry of the unit ball

DOI10.1007/s00209-010-0700-yzbMath1229.51014OpenAlexW2035083039MaRDI QIDQ636776

Aicke Hinrichs, Reinhard Wolf, Peter Nickolas

Publication date: 30 August 2011

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

Full work available at URL: https://doi.org/10.1007/s00209-010-0700-y

zbMATH Keywords

distance geometrycompact metric spacemetric geometrygeometric constantEuclidean unit ballsigned Borel measurespaces of Borel measures

Mathematics Subject Classification ID

Metric geometry (51F99) Distance geometry (51K99) Other generalizations (nonlinear potential theory, etc.) (31C45) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (3)

Positive definiteness and the Stolarsky invariance principle ⋮ The Stolarsky principle and energy optimization on the sphere ⋮ Sums of distances on graphs and embeddings into Euclidean space

Cites Work

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• Distributions of positive mass, which maximize a certain generalized energy integral
• On the average distance property of compact connected metric spaces
• Finite quasihypermetric spaces
• Spherical harmonics
• Average distances in compact connected spaces
• Extremal Problems of Distance Geometry Related to Energy Integrals
• Two Notes on Metric Geometry
• DISTANCE GEOMETRY IN QUASIHYPERMETRIC SPACES. I
• The uniform norm of hyperinterpolation on the unit sphere in an arbitrary number of dimensions

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