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A contribution to equality in Alexandrov-Fenchel's inequality

Authors:

Günter Ewald Elisabeth Tondorf

Institution:

1. Mathematisches Institut, Universit?t Bochum, Universit?tstrasse 150, 44801, Bochum 1, Germany

Abstract:

Since more than half a century it is an unsolved problem to characterize equality in Alexandrov-Fenchel's inequality

$V(K, L, K_1 ,..., K_{n - 2} )^2 \geqslant V(K, K, K_1 ,..., K_{n - 2} )V(L, L, K_1 ,..., K_{n - 2} ),$

Keywords:	Mathematics Subject Classifications (1991)" target="_blank">Mathematics Subject Classifications (1991) 52A39 52A40 52B11
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