
Journal of Convex Analysis 21 (2014), No. 1, 253260 Copyright Heldermann Verlag 2014 Right Convexity Tudor Zamfirescu Institute of Mathematics, Roumanian Academy of Sciences, P.O.B. 1764, Bucharest 014700, Roumania tudor.zamfirescu@mathematik.unidortmund.de A convex set is Fconvex if every pair of points in the set lie in a right triangle included in the set. We characterize Fconvex sets, find some classes of Fconvex sets, investigate Fconvexity for cones and cylinders, and find out that most convex bodies are Fconvex. On our way, we also describe the curvature at the endpoints of diameters of most convex bodies. [ Fulltextpdf (102 KB)] for subscribers only. 