Inequalities for dual quermassintegrals of mixed intersection bodies

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dc.creatorChang-jian, Zhao
dc.creatorGang-song, Leng
dc.date2005-03-05
dc.date.accessioned2026-07-07T05:17:42Z
dc.date.available2026-07-07T05:17:42Z
dc.descriptionIn 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0503096
dc.identifierhttp://arxiv.org/abs/math/0503096
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 1, February 2005, pp. 79-91
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74401
dc.subjectMetric Geometry
dc.subject54A50
dc.titleInequalities for dual quermassintegrals of mixed intersection bodies
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