Resumen de Affine Szabó connections on smooth manifolds

Abdoul Salam Diallo, Fortuné Masamba

• We introduce a new structure, called affine Szabó connection. We prove that, on 2-dimensional affine manifolds, the affine Szabó structure is equivalent to one of the cyclic parallelisms of the Ricci tensor. A characterization for locally homogeneous affine Szabó surfaces is obtained. Examples of two- and three-dimensional affine Szabó manifolds are also given.