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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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

J. Jerónimo-Castro, L. Montejano. “Chakerian-Klamkin Type Theorems.” Journal of Convex Analysis 17 (2010), No. 2, 643–649.