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Inequalities for dual quermassintegrals of mixed intersection bodies

Zhao Chang-jian·Leng Gang-song
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Abstract

In this paper, we first introduce a new concept of {\it dual quermassintegral sum function} of two star bodies and establish Minkowski's type inequality for dual quermassintegral sum of mixed intersection bodies, which is a general form of the Minkowski inequality for mixed intersection bodies. Then, we give the Aleksandrov--Fenchel inequality and the Brunn--Minkowski inequality for mixed intersection bodies and some related results. Our results present, for intersection bodies, all dual inequalities for Lutwak's mixed prosection bodies inequalities.

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BibTeXRIS

Zhao Chang-jian, Leng Gang-song. 2005-03-05. Inequalities for dual quermassintegrals of mixed intersection bodies. https://arxiv.org/abs/math/0503096

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