Asymmetry for Convex Body of Revolution  

Asymmetry for Convex Body of Revolution

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作  者:JIN Hailin 

机构地区:[1]Department of Mathematics, Suzhou University of Science and Technology

出  处:《Wuhan University Journal of Natural Sciences》2015年第2期97-100,共4页武汉大学学报(自然科学英文版)

基  金:Supported by the National Natural Science Foundation of China(11271244,11271282)

摘  要: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.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.

关 键 词:measure of asymmetry body of revolution constantwidth 

分 类 号:O184[理学—数学]

 

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