• DocumentCode
    3159775
  • Title

    The nilpotent tangent 3-dimensional sub-Riemannian problem is nonintegrable

  • Author

    Maciejewski, Andrzej J. ; Respondek, Witold

  • Author_Institution
    Inst. of Astron., Zielona Gora Univ., Poland
  • Volume
    1
  • fYear
    2004
  • fDate
    17-17 Dec. 2004
  • Firstpage
    438
  • Abstract
    We prove that the geodesic equation in the nilpotent tangent case of the 3-dimensional sub-Riemannian problem is never integrable, except for two particular values of the classification parameter.
  • Keywords
    differential geometry; integration; 3-dimensional subRiemannian problem; classification parameter; geodesic equation; nilpotent tangent case; Astronomy; Equations; Geometry; Image converters; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • Conference_Location
    Nassau
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1428669
  • Filename
    1428669
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3159775