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Complete minimal surfaces in \(\mathbb{R}^ 3\) with type Enneper end. (English) Zbl 0803.53006
We show that there exists a complete minimal surface immersed into \(\mathbb{R}^ 3\) which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. Furthermore, the end of the surface is of Enneper type and its total curvature is \(-16 \pi\).

MSC:
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
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References:
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