Journal of convex analysis, Tome 17 (2010) no. 2, pp. 643-649
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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/
@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},
year = {2010},
volume = {17},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a16/}
}
TY - JOUR
AU - J. Jerónimo-Castro
AU - L. Montejano
TI - Chakerian-Klamkin Type Theorems
JO - Journal of convex analysis
PY - 2010
SP - 643
EP - 649
VL - 17
IS - 2
UR - http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a16/
ID - JCA_2010_17_2_JCA_2010_17_2_a16
ER -
%0 Journal Article
%A J. Jerónimo-Castro
%A L. Montejano
%T Chakerian-Klamkin Type Theorems
%J Journal of convex analysis
%D 2010
%P 643-649
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a16/
%F JCA_2010_17_2_JCA_2010_17_2_a16
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.
