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Document type:
Zeitschriftenaufsatz 
Author(s):
Brandenberg, R. and B. Gonzalez Merino 
Title:
Minkowski Concentricity and Complete Simplices 
Abstract:
This paper considers the radii functionals (circumradius, inradius, and diameter) as well as the Minkowski asymmetry for general (possibly non-symmetric) gauge bodies. A generalization of the concentricity inequality (which states that the sum of the inradius and circumradius is not greater than the diameter in general Minkowski spaces) for nonsymmetric gauge bodies is derived and a strong connection between this new inequality, extremal sets of the generalized Bohnenblust inequality, and compl...    »
 
Journal title:
J. Math. Anal. Appl. 
Year:
2017 
Journal issue:
454 / No. 2 
Pages contribution:
981-994 
Reviewed:
ja 
Language:
en 
TUM Institution:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik