Measures of Asymmetry Dual to Mean Minkowski Measures of Asymmetry for Convex Bodies

Authors

  • Yao Dan
  • Qi Guo

DOI:

https://doi.org/10.13447/j.1674-5647.2016.03.03

Keywords:

mean Minkowski measure, asymmetry, symmetry, simplex.

Abstract

We introduce a family of measures (functions) of asymmetry for convex bodies and discuss their properties. It turns out that this family of measures shares many nice properties with the mean Minkowski measures. As the mean Minkowski measures describe the symmetry of lower dimensional sections of a convex body, these new measures describe the symmetry of lower dimensional orthogonal projections.

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Published

2021-05-14

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Issue

Vol. 32 No. 3 (2016)

Section

Articles

How to Cite

Measures of Asymmetry Dual to Mean Minkowski Measures of Asymmetry for Convex Bodies. (2021). Communications in Mathematical Research, 32(3), 207-216. https://doi.org/10.13447/j.1674-5647.2016.03.03