Espinores de killing y operador de dirac en variedades de Riemannn: la variedad de Berger B7

The aim of this work is to study the Dirac operator on the Berger manifold B7 and to study a special class of spinors, the Killing spinors. More precisely, our purpose in this work is to make a study of Killing spinors and their properties for certain special classes of manifolds with an underlying homogeneous structure.