Centroids and comparison of volumes

Details Centroids and comparison of volumes Centroids and comparison of volumes

2005-03-15

arxiv.org/abs/math/0503290v1

Mathematics

Functional Analysis

18 pages

Scientific paper

For $-1${\Gamma^*_p K}$ of a star body $K$. We consider the question of whether
${\Gamma^*_p K}\subset {\Gamma^*_p L}$ implies $\mathrm{vol}(L)\le
\mathrm{vol}(K).$ Our results extend the studies by Lutwak in the case $p=1$
and Grinberg, Zhang in the case $p> 1$.

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