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Open Accesshttps://doi.org/10.1016/j.aim.2005.05.015
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Cite Journal: Advances in Mathematics |  Publication Date: Jan 4, 2006 |
 Citations: 33 |  License type: elsevier-specific: oa user license |
Affiliation: University of South Carolina
In 1926 Nakajima (= Matsumura) showed that any convex body in R 3 with constant width, constant brightness, and boundary of class C 2 is a ball. We show that the regularity assumption on the boundary is unnecessary, so that balls are the only convex bodies of constant width and brightness.
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