Year: 2016
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 207–216
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2016.03.03
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 207–216
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: mean Minkowski measure asymmetry symmetry simplex.