A characterization of the disc by the angle of the support cone

DOI10.1007/s00025-021-01446-xzbMath1468.52002OpenAlexW3171634817MaRDI QIDQ2041237

Yanyan Li

Publication date: 16 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01446-x

zbMATH Keywords

centrally symmetricEuclidean discbody of constant widthisoptic curvehomothetic copy

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Elementary problems in Euclidean geometries (51M04)

Related Items (2)

Implicit forms of inner isoptics of ellipses ⋮ Some characterizations of the disc by properties of isoptic triangles

Cites Work

• A characterization of the Euclidean sphere with respect to an isoptic surface
• Capillary floating and the billiard ball problem
• Isoptics of a closed strictly convex curve. II
• An isoperimetric inequality for isoptic curves of convex bodies
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