In this paper, we study the Minkowski measure of asymmetry for n-dimensional convex bodies of revolution （ n ≥ 3 ）. We show that among all n-dimensional convex bodies of revolution, the bodies which generated by is...In this paper, we study the Minkowski measure of asymmetry for n-dimensional convex bodies of revolution （ n ≥ 3 ）. We show that among all n-dimensional convex bodies of revolution, the bodies which generated by isosceles triangles are the most asymmetric ones. Also, we study the asymmetry for n-dimensional constant width bodies of revolution.展开更多
基金Supported by the National Natural Science Foundation of China(11271244,11271282)
文摘In this paper, we study the Minkowski measure of asymmetry for n-dimensional convex bodies of revolution （ n ≥ 3 ）. We show that among all n-dimensional convex bodies of revolution, the bodies which generated by isosceles triangles are the most asymmetric ones. Also, we study the asymmetry for n-dimensional constant width bodies of revolution.
