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.
We establish the mean width inequalities for symmetric Wulff shapes by a direct approach.We also yield the dual inequality along with the equality conditions.These new inequalities have Barthe’s mean width inequalities for even isotropic measures and its dual form as special cases.
