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On the Aleksandrov-Fenchel inequality involving zonoids

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Abstract

The equality case in the general quadratic inequality V(K, L, K 1, ..., K n−2)2 ≥ V(K, K, K 1, ..., K n−2) V(L, L, K 1, ..., K n−2) for mixed volumes is settled under the assumption that K and L are centrally symmetric and K 1, ..., K n−2 are zonoids. This result partly confirms a conjecture on the general case made in an earlier paper.

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  1. Mathematisches Institut, Albert-Ludwigs-Universität, Albertstr. 23b, D-7800, Freiburg i. Br., F.R.G.

    Rolf Schneider

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  1. Rolf Schneider
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Schneider, R. On the Aleksandrov-Fenchel inequality involving zonoids. Geom Dedicata 27, 113–126 (1988). https://doi.org/10.1007/BF00181617

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  • DOI: https://doi.org/10.1007/BF00181617

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