Some characterizations of the Euclidean ball
In this paper the following result is proved, which is an extension of the one proved in García-Jiménez et al. (Monatsh Math 181:601–607, 2016): a convex body K in the n -dimensional Euclidean space is a Euclidean ball if one of its isoptic surfaces is homothetic to ∂ K . We also proved some related...
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| Veröffentlicht in: | Journal of geometry 2021-08, Vol.112 (2), Article 21 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper the following result is proved, which is an extension of the one proved in García-Jiménez et al. (Monatsh Math 181:601–607, 2016):
a convex body
K
in the
n
-dimensional Euclidean space is a Euclidean ball if one of its isoptic surfaces is homothetic to
∂
K
. We also proved some related characterizations of the Euclidean ball. |
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| ISSN: | 0047-2468 1420-8997 |
| DOI: | 10.1007/s00022-021-00584-5 |