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Journal of Convex Analysis 23 (2016), No. 4, 1219--1246
Copyright Heldermann Verlag 2016



Right Triple Convexity

Liping Yuan
College of Mathematics and Information Science, Hebei Normal University, 050024 Shijiazhuang, P. R. China
and: Hebei Key Laboratory of Computational Mathematics and Applications, 050024 Shijiazhuang, P. R. China
lpyuan@mail.hebtu.edu.cn

Tudor Zamfirescu
Fachbereich Mathematik, Universitšt Dortmund, 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



A set M in Rd is rt-convex if every pair of its points is included in a 3-point subset {x,y,z} of M such that the triangle with the corners x, y and z has a right angle at y. We characterize rt-convex sets, and for 2-connected polygonally connected sets, for 3-connected sets, for geometric graphs, and for finite sets.

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