对偶Brunn-Minkowski-Firey定理

THE DUAL BRUNN-MINKOWSKI-FIREY THEOREM

本文引入了星体的对偶混合均质积分和对偶混合p均质积分的概念,利用积分的方法证明了几个涉及对偶混合均质积分的不等式,推广了对偶的Brunn Minkowski理论.

This paper introducs the definitions of the dual mixed Quermass integrals and the dual mixed ρ-Quermass integrals. By applying the integral methods, we prove some inequalities for the dual mixed Quermass integrals. Moreover, we generalize the dual Brunn-Minkowski theory.