Abstract
As a generalization of the classical duality between minimal graphs in E3 and maximal graphs in L3, we construct the duality between graphs of constant mean curvature H in Bianchi-Cartan-Vranceanu space E3(κ, τ) and spacelike graphs of constant mean curvature τ in Lorentzian Bianchi-Cartan-Vranceanu space L3(κ, H).
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