SL(n)-Covariant $L_p$ -Minkowski Valuations

preprint2015arXivOpen access

All continuous SL(n)-covariant $L_p$ -Minkowski valuations defined on convex bodies are completely classified. The $L_p$ -moment body operators turn out to be the nontrivial prototypes of such maps.

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SL(n)-Covariant $L_p$ -Minkowski Valuations

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SL(n)-Covariant LpL_pLp​-Minkowski Valuations

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SL(n)-Covariant $L_p$ -Minkowski Valuations