摘要

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

  • 出版日期2017