Minkowski concentricity and complete simplices

作者：Brandenberg, Rene; Gonzalez Merino, Bernardo

来源：Journal of Mathematical Analysis and Applications, 2017, 454(2): 981-994.

DOI：10.1016/j.jmaa.2017.05.031

• Complete bodies
• Constant width
• Jung constant
• Minkowski asymmetry
• Radii
• Minkowski center

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 non-symmetric gauge bodies is derived and a strong connection between this new inequality, extremal sets of the generalized Boluaenblust inequality, and completeness of simplices is revealed.

• 出版日期2017-10-15