Characterizations of generalized convex bodies of revolution
Abstract
Abstract 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 E d , d ≥ 3 $\mathbb {E}^{d}, d\geq 3$ double struck upper E Superscript d Baseline comma d greater than or equals 3 , is enough to guarantee that K is a generalized body of revolution (and, in some cases, a sphere).
Fields of Study & Subjects
Point processes and geometric inequalities
Optimization and Variational Analysis
Publication details
- Journal / source
- Canadian Mathematical Bulletin
- Publisher
- Canadian Mathematical Society
- Pages
- 1–11
- Publication date
- 15 July 2026
- Language
- EN