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math.DG2007★ 2 cited
Construction of harmonic diffeomorphisms and minimal graphs
Pascal Collin, Harold Rosenberg
We study complete minimal graphs in HxR, which take asymptotic boundary values plus and minus infinity on alternating sides of an ideal inscribed polygon Γ in H. We give neces…
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…