An equichordal characterization of round spheres.(English)Zbl 0833.53007

Author’s abstract: “Characterizations of round spheres are plentiful. The aim of this note is to present one based on the notions of horizon and equichordality. This kind of characterization complements research on the relations between the shape of a body and the shapes of its shadow boundaries [see the paper of J. Kincses and A. Kurusa [Beitr. Algebra Geom. 36, No. 1, 25-35 (1995; Zbl 0828.52001)]”.

MSC:

 53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related $$n$$-spaces 53C40 Global submanifolds

Zbl 0828.52001
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