Abstract
We shall investigate octonionic product deformations which come from the parallelizable torsion on the 7-sphere S7, extending the Moufang identity to these products and obtaining a family of geometries over S7, which arise as new solutions of the moviment equation from the Lagrangian formalism. This is done by considering the spontaneous compactification ADS4xS7, where ADS4 denotes the an…