Integrability of the Gauss-Codazzi-Mainardi equation in 2+1 dimensions

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Integrability of the (2+1)-dimensional Gauss-Codazzi-Mainardi equation is considered. It is shown that this equation is the particular cases of the Yang-Mills-Higgs-Bogomolny and self-dual Yang-Mills equations.
6 pages, Latex, no figures

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