Geodesic
Centrally Symmetric Convex Sets
Journal of convex analysis, Tome 14 (2007) no. 2, pp. 345-351.

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

There are some conditions under which a compact, convex set is centrally symmetric. The conditions were established by W. Blaschke and G. Hessenberg [Jahresberichte Deutsch. Math. Vereinigung 26 (1917) 215--220], G. D. Chakerian and M. S. Klamkin [Amer. Math. Monthly 111 (2004) 903--905], and L. Montejano [Bol. Soc. Mat. Mex. 38 (1993) 1--7]. In this article we give some new conditions.
Mots-clés : Convex set, symmetry, sections and projections of sets 
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     author = {V. G. Boltyanski and J. J. Castro},
     title = {Centrally {Symmetric} {Convex} {Sets}},
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V. G. Boltyanski; J. J. Castro. Centrally Symmetric Convex Sets. Journal of convex analysis, Tome 14 (2007) no. 2, pp. 345-351. http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a7/