Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 48, No. 1, pp. 1126 (2007) 

Classification of locally projectively homogeneous torsionless affine connections in the plane domainsOldrich Kowalski and Zdenek VlásekCharles University Prague, Faculty of Mathematics and Physics, Sokolovská 83, 186 75 Praha, Czech Republic, email: kowalski@karlin.mff.cuni.cz \quad vlasek@karlin.mff.cuni.czAbstract: The aim of this paper is to classify (locally) all torsionless locally projectively homogeneous affine connections on 2dimensional manifolds. Especially, we express, in a simple and explicit form, all such connections which are not projectively flat (Theorem 1). We make also some conclusions from this classification (Theorem 2 and Theorem3). Keywords: twodimensional manifolds with affine connection, projectively homogeneous connections, Lie algebras of vector fields, Killing vector fields Classification (MSC2000): 53B05, 53C30 Full text of the article:
Electronic version published on: 14 May 2007. This page was last modified: 27 Jan 2010.
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