Abstract

We construct minimal surfaces in hyperbolic and anti-de Sitter 3-space with the topology of a n-punctured sphere by loop group factorization methods. The end behaviour of the surfaces is based on the asymptotics of Delaunay-type surfaces, i.e. rotational symmetric minimal cylinders. The minimal surfaces in H3 extend to Willmore surfaces in the conformal 3-sphere S 3 = H3∪S2∪H3.

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