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- W4300440849 abstract "We provide a description of the space of continuous and translation invariant Minkowski valuations $Phi:mathcal{K}^ntomathcal{K}^n$ for which there is an upper and a lower bound for the volume of $Phi(K)$ in terms of the volume of the convex body $K$ itself. Although no invariance with respect to a group acting on the space of convex bodies is imposed, we prove that only two types of operators appear: a family of operators having only cylinders over $(n-1)$-dimensional convex bodies as images, and a second family consisting essentially of 1-homogeneous operators. Using this description, we give improvements of some known characterization results for the difference body." @default.
- W4300440849 created "2022-10-03" @default.
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- W4300440849 date "2016-02-10" @default.
- W4300440849 modified "2023-10-14" @default.
- W4300440849 title "Minkowski valuations under volume constraints" @default.
- W4300440849 doi "https://doi.org/10.48550/arxiv.1602.03438" @default.
- W4300440849 hasPublicationYear "2016" @default.
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