Affine Szab\'o connections on smooth manifolds
Differential Geometry
2016-07-08 v2
Abstract
In this paper, we introduce a new structure, namely, affine Szab\'o connection. We prove that, on -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.
Keywords
Cite
@article{arxiv.1604.05420,
title = {Affine Szab\'o connections on smooth manifolds},
author = {Abdoul Salam Diallo and Fortuné Massamba},
journal= {arXiv preprint arXiv:1604.05420},
year = {2016}
}
Comments
16 pages. arXiv admin note: text overlap with arXiv:1604.05422