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Convex bodies with equiframed two-dimensional sections

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Abstract.

We show that a centred, convex body in \({\mathbb{R}^{d}}\) (d ≥ 3) all of whose two-dimensional sections through the origin are equiframed is an ellipsoid.

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  1. Fakultät für Mathematik, Technische Universität Chemnitz, D-09107, Chemnitz, Germany

    Nico Düvelmeyer

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  1. Nico Düvelmeyer
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Correspondence to Nico Düvelmeyer.

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Received: 20 July 2005 Revised: 16 May 2006

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Düvelmeyer, N. Convex bodies with equiframed two-dimensional sections. Arch. Math. 88, 181–192 (2007). https://doi.org/10.1007/s00013-006-1675-0

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  • DOI: https://doi.org/10.1007/s00013-006-1675-0

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