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On a reverse isoperimetric inequality for relative outer parallel bodies
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-08-04 , DOI: 10.1090/proc/15132 Eugenia Saorín Gómez , Jesús Yepes Nicolás
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-08-04 , DOI: 10.1090/proc/15132 Eugenia Saorín Gómez , Jesús Yepes Nicolás
Abstract:We show a reverse isoperimetric inequality within the class of relative outer parallel bodies, with respect to a general convex body , along with its equality condition. Based on the convexity of the sequence of quermassintegrals of Minkowski sums we also prove further inequalities.
中文翻译:
关于相对外部平行体的反向等距不等式
摘要:相对于一般凸体,我们证明了其在相对外部平行体类中的反向等长不等式及其相等条件。基于Minkowski和的量子群积分序列的凸性,我们还证明了进一步的不等式。
更新日期:2020-09-02
中文翻译:
关于相对外部平行体的反向等距不等式
摘要:相对于一般凸体,我们证明了其在相对外部平行体类中的反向等长不等式及其相等条件。基于Minkowski和的量子群积分序列的凸性,我们还证明了进一步的不等式。