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- W2488852092 abstract "Hedgehogs are geometrical objects that describe the Minkowski differences of arbitrary convex bodies in the Euclidean space En. We prove that two hedgehogs in En, n≥3, coincide up to a translation and a reflection in the origin, provided that their projections onto any two-dimensional plane are directly congruent and have no direct rigid motion symmetries. Our result is a consequence of a more general analytic statement about the solutions of a functional equation in which the support functions of hedgehogs are replaced with two arbitrary twice continuously differentiable functions on the unit sphere." @default.
- W2488852092 created "2016-08-23" @default.
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- W2488852092 date "2017-01-01" @default.
- W2488852092 modified "2023-10-18" @default.
- W2488852092 title "On a functional equation related to a pair of hedgehogs with congruent projections" @default.
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- W2488852092 doi "https://doi.org/10.1016/j.jmaa.2016.07.040" @default.
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