• DocumentCode
    445741
  • Title

    About mapping of fields of two-dimensional planes L21 and L22 determined on manifold V1,2n+1 in En+1 (n ≥ 4) invariantly

  • Author

    Ivlev, E.T. ; Luchinin, A.A.

  • Author_Institution
    Dept. of Higher Math., Tomsk Polytech. Univ., Russia
  • Volume
    2
  • fYear
    2004
  • fDate
    26 June-3 July 2004
  • Firstpage
    159
  • Abstract
    In (n+1)-dimensional Euclidean space En+1 (n ≥ 4) the two-dimensional manifold V1,2n+1 straight lines is studied. Fields of two-dimensional planes are connected with manifold V1,2n+1 invariantly. One have introduced geometrically invariant points and 1-families of two-dimensional. Two mappings of 2-planes L21, and L22 each other are considered. It is found out, when the functions given these mappings satisfy to conditions Cauchy-Riemann (d´Alambert-Euler).
  • Keywords
    geometry; nonlinear differential equations; partial differential equations; (n+1)-dimensional Euclidean space; Cauchy-Riemann equations; geometrically invariant points; straight lines; Harmonic analysis; Mathematics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Science and Technology, 2004. KORUS 2004. Proceedings. The 8th Russian-Korean International Symposium on
  • Print_ISBN
    0-7803-8383-4
  • Type

    conf

  • DOI
    10.1109/KORUS.2004.1555577
  • Filename
    1555577