Abstract

A convex set is F\mathcal{F}-convex if every pair of points in the set lie in a right triangle included in the set. We characterize F\mathcal{F}-convex sets, find some classes of F\mathcal{F}-convex sets, investigate F\mathcal{F}-convexity for cones and cylinders, and find out that most convex bodies are F\mathcal{F}-convex. On our way, we also describe the curvature at the endpoints of diameters of most convex bodies

Author information

Contact details are reproduced from the original publication and may be historical.

Tudor Zamfirescu

Faculty of Mathematics, Dortmund University of Technology, 44221 Dortmund, Germany
and: Institute of Mathematics, Roumanian Academy of Sciences, P.O.B. 1-764, Bucharest 014700, Roumania

tudor.zamfirescu@mathematik.uni-dortmund.de

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Suggested citation

T. Zamfirescu. “Right Convexity.” Journal of Convex Analysis 21 (2014), No. 1, 253–260. https://doi.org/10.68381/jca21014

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Published by Heldermann Verlag, 2014. Rights now held by Banach Press.