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math.DG2008
An end-to-end-construction for singly periodic minimal surfaces
Laurent Hauswirth, Filippo Morabito, Magdalena Rodriguez
We show the existence of various families of properly embedded singly periodic minimal surfaces in R^3 with finite arbitrary genus and Scherk type ends in the quotient. The proof o…
math.DG2005★ 4 cited
Generalized Riemann minimal surfaces examples in three-dimensional manifolds products
L. Hauswirth
In this paper, we construct and classify minimal surfaces foliated by horizontal constant curvature curves in product manifolds , where is the hyperbolic plane, th…
math.DG2001
The geometry of finite topology Bryant surfaces
Pascal Collin, Laurent Hauswirth, Harold Rosenberg
In this paper we shall establish that properly embedded constant mean curvature one surfaces in H^3 of finite topology are of finite total curvature and each end is regular. In par…