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Constant mean curvature surfaces via integrable dynamical system

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 نشر من قبل ul
 تاريخ النشر 1995
  مجال البحث
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It is shown that the equation which describes constant mean curvature surface via the generalized Weierstrass-Enneper inducing has Hamiltonian form. Its simplest finite-dimensional reduction has two degrees of freedom, integrable and its trajectories correspond to well-known Delaunay and do Carmo-Dajzcer surfaces (i.e., helicoidal constant mean curvature surfaces).



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