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- W4295116618 abstract "It is proved that if $C$ is a convex body in ${Bbb R}^n$ then $C$ has an affine image $widetilde C$ (of non-zero volume) so that if $P$ is any 1-codimensional orthogonal projection, $$|Pwidetilde C| ge |widetilde C|^{n-1over n}.$$ It is also shown that there is a pathological body, $K$, all of whose orthogonal projections have volume about $sqrt{n}$ times as large as $|K|^{n-1over n}$." @default.
- W4295116618 created "2022-09-10" @default.
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- W4295116618 date "1989-10-26" @default.
- W4295116618 modified "2023-09-24" @default.
- W4295116618 title "Shadows of convex bodies" @default.
- W4295116618 doi "https://doi.org/10.48550/arxiv.math/9201204" @default.
- W4295116618 hasPublicationYear "1989" @default.
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