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hal-00005800, version 2

Geodesics in nilpotent Lie groups

Odinette Renée Abib () 1

Abstract: We study the geodesics problem in Heisenberg group H ( case SR and riemannian). The sheaf of infinitesimal automorphisms of the (2n,2n+1) distribution D over H is an infinite, transitive Lie algebra sheaf.

  • 1:  Laboratoire de Mathématiques Raphaël Salem (LMRS)
  • CNRS : UMR6085 – Université de Rouen
  • Domain : Mathematics/Optimization and Control
    Mathematics/Differential Geometry
    Mathematics/Dynamical Systems
  • Keywords : geometry – nonlinear control systems – distributions
  • Comment : to appear in Proceeding of GAP 2007 – Geometry and Physic Conference – Dakar (SN)
  • Available versions :  v1 (2005-07-04) v2 (2007-12-07)
 
  • hal-00005800, version 2
  • oai:hal.archives-ouvertes.fr:hal-00005800
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  • Submitted on: Friday, 7 December 2007 13:09:17
  • Updated on: Friday, 7 December 2007 13:43:06