Journal of Convex Analysis 17 (2010), No. 2, 643--649
Copyright Heldermann Verlag 2010
Chakerian-Klamkin Type Theorems
Jesus Jerónimo-Castro
Inst. de Matemáticas - UNAM, Ciudad de México, Facultad de Matemáticas - UAG, Acapulco, México
jeronimo@cimat.mx
Luis Montejano
Inst. de Matemáticas - UNAM, Ciudad de México, Facultad de Matemáticas - UAG, Acapulco, México
luis@matem.unam.mx
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.
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