Abstract:We investigate slant surfaces in the almost Hermitian manifold π3 Γ β, considering the position of the Reeb vector field ΞΎ of the Sasakian structure on π3 with respect to the surfaces. We examine two cases: ΞΎ normal or tangent to the surfaces. In the first case, we prove that every surface is totally real. In the second case, we characterize and locally describe complex surfaces. Finally, we completely classify non-complex slant surfaces, giving explicit examples.
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