Convex Bodies with Minimal Mean Width
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چکیده
is isotropic with respect to an appropriate measure depending on f . The purpose of this note is to provide applications of this point of view in the case of the mean width functional T 7→ w(TK) under various constraints. Recall that the width of K in the direction of u ∈ Sn−1 is defined by w(K,u) = hK(u) + hK(−u), where hK(y) = maxx∈K〈x, y〉 is the support function of K. The width function w(K, ·) is translation invariant, therefore we may assume that o ∈ int(K). The mean width of K is given by
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تاریخ انتشار 2000