• شماره ركورد كنفرانس
    4032
  • عنوان مقاله

    ENERGY MINIMIZATION ON SPECIAL ORTHONORMAL GROUPS

  • پديدآورندگان

    SHAHROKHI-DEHKORDI M.S. m shahrokhi@sbu.ac.ir Department of Mathematics, University of Shahid Beheshti, Tehran, Iran.

  • تعداد صفحه
    7
  • كليدواژه
    Variational Methods , Lagrangian , Geodesics , Special orthonormal Group , Critical Points.
  • سال انتشار
    1396
  • عنوان كنفرانس
    نهمين سمينار ملي آناليز غير خطي و كاربردهاي آن
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    The main aim of this paper is addressing the question of minimization a functional over the space of W1;p([a; b];SO(N)), i.e., weakly differentiable loops in orthogonal groups. Instead of finding the stationary points in the space of weakly differentiable loops we restricted the energy functional to, so(N), the Lie algebra of SO(N), which results infinite many critical points related to the main energy functional.
  • كشور
    ايران