摘要
In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than a(n-1), K has at least n+1 critical chords, where a(n)=n+(2n(n+1))√1/2/n+2.
In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than a(n-1), K has at least n+1 critical chords, where a(n)=n+(2n(n+1))√1/2/n+2.
基金
Supported by the Innovative Project of College Students of Jiangsu Province(201710332019Z)
the Natural Science Foundation of Jiangsu Province(BK20171218)
the National Natural Science Foundation of China(11671293)