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)
文摘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.
