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Constant mean curvature surfaces via integrable dynamical system

B. G. Konopelchenko·I. A. Taimanov
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Abstract

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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BibTeXRIS

B. G. Konopelchenko, I. A. Taimanov. 1995-05-26. Constant mean curvature surfaces via integrable dynamical system. https://doi.org/10.1088/0305-4470%2F29%2F6%2F012

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