Перегляд за автором "Petrov, Ye.V."

Сортувати за: Порядок: Результатів:

  • Submanifolds with the Harmonic Gauss Map in Lie Groups 
    Petrov, Ye.V. (Журнал математической физики, анализа, геометрии, 2008)
    In this paper we find a criterion for the Gauss map of an immersed smooth submanifold in some Lie group with left invariant metric to be harmonic. Using the obtained expression we prove some necessary and sufficient ...
  • The Gauss Map of Hypersurfaces in 2-Step Nilpotent Lie Groups 
    Petrov, Ye.V. (Журнал математической физики, анализа, геометрии, 2006)
    We consider smooth oriented hypersurfaces in 2-step nilpotent Lie groups with a left invariant metric. We derive an expression for the Laplacian of the Gauss map for such hypersurfaces in the general case and in some ...