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arXiv · 1604.05420

Affine Szab\'o connections on smooth manifolds

Abdoul Salam Diallo·Fortuné Massamba
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Abstract

In this paper, we introduce a new structure, namely, affine Szab\'o connection. We prove that, on $2$-dimensional affine manifolds, the affine Szab\'o structure is equivalent to one of the cyclic parallelism of the Ricci tensor. A characterization for locally homogeneous affine Szab\'o surface is obtained. Examples of two- and three-dimensional affine Szab\'o manifolds are also given.

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Abdoul Salam Diallo, Fortuné Massamba. 2016-04-19. Affine Szab\'o connections on smooth manifolds. https://arxiv.org/abs/1604.05420

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