Abstract
As a generalization of the classical duality between minimal graphs in E 3 and maximal graphs in L 3, we construct the duality between graphs of constant mean curvature H in Bianchi-Cartan-Vranceanu space E 3(κ, τ) and spacelike graphs of constant mean curvature τ in Lorentzian Bianchi-Cartan-Vranceanu space L 3(κ, H).
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Lee, H. Extensions of the duality between minimal surfaces and maximal surfaces. Geom Dedicata 151, 373–386 (2011). https://doi.org/10.1007/s10711-010-9539-y
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DOI: https://doi.org/10.1007/s10711-010-9539-y