Geodesic
Right Convexity
Journal of convex analysis, Tome 21 (2014) no. 1, pp. 253-26

Voir la notice de l'article provenant de la source Heldermann Verlag

A convex set is F-convex if every pair of points in the set lie in a right triangle included in the set. We characterize F-convex sets, find some classes of F-convex sets, investigate F-convexity for cones and cylinders, and find out that most convex bodies are F-convex. On our way, we also describe the curvature at the endpoints of diameters of most convex bodies. 
@article{JCA_2014_21_1_JCA_2014_21_1_a13,
     author = {T. Zamfirescu},
     title = {Right {Convexity}},
     journal = {Journal of convex analysis},
     pages = {253--26},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a13/}
}
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T. Zamfirescu. Right Convexity. Journal of convex analysis, Tome 21 (2014) no. 1, pp. 253-26. http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a13/