Some basic inequalities in higher dimensional non-Euclid space

DOI10.1007/S11425-007-0011-XzbMath1115.51009OpenAlexW1966129405MaRDI QIDQ885556

Ding-hua Yang

Publication date: 14 June 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0011-x

zbMATH Keywords

volumespherical geometryhyperbolic geometrysimplexhigher dimensional Euclid spacemetric additionNeuberg-Pedoe's inequalityradius of circumscribed sphereYang-Zhang's inequality

Mathematics Subject Classification ID

General theory of distance geometry (51K05) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (1)

Volumes of \(s\)-Orlicz convex simplices and geometric inequalities in higher dimensional spaces

Cites Work

• The realization of elementary configurations in Euclidean space
• A generalisation to several dimensions of the Neuberg-Pedoe inequality, with applications
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