Abstract
Let K be a convex body in ℝn. Is K uniquely determined by the areas of its sections? There are classical results that explain what happens in the case of sections passing through the origin. However, much less is known about sections that do not contain the origin. We discuss several problems of this type and establish the corresponding uniqueness results.
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Both authors are partially supported by a grant from NSERC.
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Yaskin, V., Zhang, N. Non-central sections of convex bodies. Isr. J. Math. 220, 763–790 (2017). https://doi.org/10.1007/s11856-017-1532-9
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DOI: https://doi.org/10.1007/s11856-017-1532-9