A classification of locally homogeneous connections on 2-dimensional manifolds via group-theoretical approach
- 1 March 2004
- journal article
- research article
- Published by Walter de Gruyter GmbH in Central European Journal of Mathematics
- Vol. 2 (1) , 87-102
Abstract
The aim of this paper is to classify (lócally) all torsion-less locally homogeneous affine connections on two-dimensional manifolds from a group-theoretical point of view. For this purpose, we are using the classification of all non-equivalent transitive Lie algebras of vector fields in ℝ2 according to P.J. Olver [7].Keywords
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