TY - JOUR
T1 - Measures of Asymmetry Dual to Mean Minkowski Measures of Asymmetry for Convex Bodies
AU - Dan , Yao
AU - Guo , Qi
JO - Communications in Mathematical Research 
VL - 3
SP - 207
EP - 216
PY - 2021
DA - 2021/05
SN - 32
DO - http://doi.org/10.13447/j.1674-5647.2016.03.03
UR - https://global-sci.org/intro/article_detail/cmr/18892.html
KW - mean Minkowski measure, asymmetry, symmetry, simplex.
AB - <p style="text-align: justify;">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.</p>