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Isoptic characterization of spheres

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Abstract

If a convex body in \({\mathcal{K} \in \mathbb{R}^{n}}\) subtends constant visual angles over two concentric spheres exterior to \({\mathcal{K}}\), then it is a ball concentric to those spheres.

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Authors and Affiliations

  1. Bolyai Institute, University of Szeged, Aradi vértanúk tere 1., Szeged, 6720, Hungary

    Árpád Kurusa & Tibor Ódor

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  1. Árpád Kurusa
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  2. Tibor Ódor
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Correspondence to Árpád Kurusa.

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Kurusa, Á., Ódor, T. Isoptic characterization of spheres. J. Geom. 106, 63–73 (2015). https://doi.org/10.1007/s00022-014-0232-4

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  • DOI: https://doi.org/10.1007/s00022-014-0232-4

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