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Characterizations of generalized convex bodies of revolution
- Part of
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- Journal:
- Canadian Mathematical Bulletin , First View
- Published online by Cambridge University Press:
- 15 July 2026, pp. 1-11
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In this work, we prove that either a sequence of axes of symmetry or a sequence of hyperplanes of symmetry of a convex body K in the Euclidean space $\mathbb {E}^{d}, d\geq 3$
, is enough to guarantee that K is a generalized body of revolution (and, in some cases, a sphere).
