Geodesic
Chakerian-Klamkin Type Theorems
Journal of convex analysis, Tome 17 (2010) no. 2, pp. 643-649.

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

The purpose of this paper is to follow the spirit of the Chakerian-Klamkin's characterization of central symmetry to give characterizations of projective centers and hyperplanes of symmetry. We use them to give a new and unexpected characterization of ellipsoids. We also prove two geometric colored theorems in the spirit of Lovász-Bárány. 
@article{JCA_2010_17_2_JCA_2010_17_2_a16,
     author = {J. Jer\'onimo-Castro and L. Montejano},
     title = {Chakerian-Klamkin {Type} {Theorems}},
     journal = {Journal of convex analysis},
     pages = {643--649},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a16/}
}
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J. Jerónimo-Castro; L. Montejano. Chakerian-Klamkin Type Theorems. Journal of convex analysis, Tome 17 (2010) no. 2, pp. 643-649. http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a16/