2016/04/19 by Abdoul Salam Diallo, Diallo, Abdoul Salam, Fortuné Massamba +1 · 1 citation
Mathematics · #Affine transformation #Combinatorics #Computer science #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Mathematics #Pure mathematics #Topology (electrical circuits) #math.DG #msc:53B05 #msc:53B20
paper · pdf · doi:10.48550/arxiv.1604.05420
16 pages. arXiv admin note: text overlap with arXiv:1604.05422
openalex publication_date 2016/04/19 · arxiv created 2016/07/07 · arxiv updated 2016/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce a new structure, namely, affine Szabó connection. We prove that, on 2-dimensional affine manifolds, the affine Szabó structure is equivalent to one of the cyclic parallelism of the Ricci tensor. A characterization for locally homogeneous affine Szabó surface is obtained. Examples of two- and three-dimensional affine Szabó manifolds are also given.