Convex curves of bounded type

A. W. Goodman

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-9

Abstract:

Let C be a simple closed convex curve in the plane for which the radius of curvature ρ is a continuous function of the arc length. Such a curve is called a convex curve of bounded type, if ρ lies between two fixed positive bounds. Here we give a new and simpler proof of Blaschke's Rolling Theorem. We prove one new theorem and suggest a number of open problems.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:583138

DOI: 10.1155/S0161171285000680

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