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• W2183698495 abstract "The Bianchi-Cartan-Vranceanu spaces are Riemannian 3-manifolds whose isometry groups have at least 4-dimension and not of constant neg- ative curvature. In this paper we study helicoids and axially symmetric minimal surfaces in the Bianchi-Cartan-Vranceanu spaces. In particular, axially symmetric minimal surfaces are explicitly classifled in terms of el- liptic functions. Moreover the non-existence of totally umbilical surfaces in the irreducible Bianchi-Cartan-Vranceanu spaces is proved." @default.
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• W2183698495 date "2007-01-01" @default.
• W2183698495 modified "2023-09-27" @default.
• W2183698495 title "Helicoids and axially symmetric minimal surfaces in 3-dimensional homogeneous spaces" @default.
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