Flat locally homogeneous affine connections with torsion on 2-dimensional manifolds


Abstract


The aim of this paper is to review and to obtain results about flat locally homogeneous affine connections with torsion on 2-dimensional manifolds using the new information provides by the recently obtained classification.

DOI Code: 10.1285/i15900932v28n1supplp37

Keywords: two-dimensional manifolds with flat affine connection; locally homogeneous connections; Lie algebras of vector fields; Killing vector fields

Classification: 53B05; 53C30

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