A characterization of centrally symmetric convex bodies in terms of visual cones
Author:
Affiliation:
1. Facultad de Matemáticas-Acapulco, Universidad Autónoma de Guerrero , México , Austria
2. Facultad de Ingeniería, Universidad Autónoma de Querétaro , México , Austria
Abstract
Publisher
Walter de Gruyter GmbH
Subject
Geometry and Topology
Link
https://www.degruyter.com/document/doi/10.1515/advgeom-2022-0006/pdf
Reference12 articles.
1. M. A. Alfonseca, F. Nazarov, D. Ryabogin, V. Yaskin, A solution to the fifth and the eighth Busemann–Petty problems in a small neighborhood of the Euclidean ball. Adv. Math. 390 (2021), Paper No. 107920, 28 pp. MR4292961 Zbl 1473.52014
2. W. Cieślak, A. Miernowski, W. Mozgawa, Isoptics of a closed strictly convex curve. In: Global differential geometry and global analysis (Berlin, 1990), volume 1481 of Lecture Notes in Math., 28–35, Springer 1991. MR1178515 Zbl 0739.53001
3. M. Fradelizi, M. Meyer, V. Yaskin, On the volume of sections of a convex body by cones. Proc. Amer. Math. Soc. 145 (2017), 3153–3164. MR3637961 Zbl 1365.52004
4. J. W. Green, Sets subtending a constant angle on a circle. Duke Math. J. 17 (1950), 263–267. MR36527 Zbl 0039.18201
5. J. Jerónimo-Castro, T. B. McAllister, Two characterizations of ellipsoidal cones. J. Convex Anal. 20 (2013), 1181–1187. MR3184302 Zbl 1284.52007
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