Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds,

Abstract

We give an explicit classification of locally homogeneous affine connections with arbitrary torsion in plane domains. For this purpose we use the list of transitive action of groups on plane domains as given by P.J.Olver This generalizes a result by B.

Opozda published in Diff. Geom.

Appl.

Keywords

• Classification
• locally
• homogeneous
• affine
• connections
• arbitrary
• torsion
• 2-dimensional
• manifolds