Convex Bodies of Constant Width and Constant Brightness

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dc.creatorHoward, Ralph
dc.date2003-06-30
dc.date.accessioned2026-07-07T04:59:18Z
dc.date.available2026-07-07T04:59:18Z
dc.descriptionIn 1926 S. Nakajima (= A. 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.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0306437
dc.identifierhttp://arxiv.org/abs/math/0306437
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67933
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.subject52A15 (Primary) 52A20, 52A40, 30C62 (Secondary)
dc.titleConvex Bodies of Constant Width and Constant Brightness
dc.typetext

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