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hal-00122572, version 1

Affine Structures on abelian Lie Groups

Elisabeth Remm 1, Michel Goze

Linear Algebra and its Applications 360 (2003) 215-230

Abstract: The complete affine structures on abelian Lie algebras in small dimensions are well known. In this paper we are interested by the non complete case. In particular we classify all these structures in dimensions 2 and 3.

  • 1:  Laboratoire de Mathématiques Informatique et Applications (LMIA)
  • Université de Haute Alsace - Mulhouse
  • Domain : Mathematics/Rings and Algebras
    Mathematics/Differential Geometry
  • Comment : 14 pages
 
  • hal-00122572, version 1
  • oai:hal.archives-ouvertes.fr:hal-00122572
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  • Submitted on: Wednesday, 3 January 2007 15:59:54
  • Updated on: Wednesday, 3 January 2007 15:59:54