Affine Szabó connections on smooth manifolds

• Abdoul Salam Diallo ^[1] ; Fortuné Masamba ^[1]
  1. [1] University of KwaZulu-Natal

     University of KwaZulu-Natal

     Ethekwini, Sudáfrica

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 58, Nº. 1, 2017, págs. 37-52
• Idioma: inglés
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• Resumen

  • 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.