𝑆𝐿(𝑛)-contravariant 𝐿_{𝑝}-Minkowski valuations

Parapatits, Lukas

doi:10.1090/S0002-9947-2013-05750-9

$\mathrm {SL}(n)$-contravariant $L_p$-Minkowski valuations
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Trans. Amer. Math. Soc. 366 (2014), 1195-1211 Request permission

Abstract:

All $\operatorname {SL}(n)$-contravariant $L_p$-Minkowski valuations on polytopes are completely classified. The prototypes of such valuations turn out to be the asymmetric $L_p$-projection body operators.

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