Geometrization of the Electro-weak Model Bosonic Component

In this work, we develop a geometrical unification theory for gravity and the electro-weak model in a Kaluza-Klein approach; in particular, from the curvature dimensional reduction Einstein–Yang–Mills action is obtained. We consider two possible space-time manifolds: 1) V4⊗ S1⊗ S2 where isospin doublets are identified with spinors; 2) V4⊗ S1⊗ S3 in which both quarks and leptons doublets can be recast into the same spinor, such that the equal number of quark generations and leptonic families is explained.