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Complete minimal surfaces in $ℝ^{3}$ with type Enneper end

Nedir Do Espirito Santo — 1994

Annales de l'institut Fourier

We show that there exists a complete minimal surface immersed into $ℝ^{3}$ which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. The end of the surface is of Enneper type and its total curvature is $- 16 π$ .

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Complete minimal surfaces in ℝ 3 with type Enneper end

Complete minimal surfaces in $ℝ^{3}$ with type Enneper end