Conformally invariant differential operators and bilinear functionals in six dimensions

Abstract

We review how to construct the Paneitz operator in dimension four and the correspondingoperator in dimension six, by constructing symmetric bilinear differentialfunctionals that are conformally invariant.Keywords: Conformal invariants, Paneitz operator, bilinear differential functionals.Revisamos como construir el operador de Paneitz en cuatro dimensiones y el correspondienteoperador en seis dimensiones, mediante la construcci´on de funcionalesdiferenciales bilineales sim´etricos que son conformemente invariantes.Palabras clave: Invariantes conformes, operador de Paneitz, funcionales bilineales diferenciales.