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math.DG2010
Half-space theorems and the embedded Calabi-Yau problem in Lie groups
Benoit Daniel, William H. Meeks, Harold Rosenberg
We study the embedded Calabi-Yau problem for complete embedded constant mean curvature surfaces of finite topology or of positive injectivity radius in a simply-connected three-dim…
math.DG2010
Half-space theorems for minimal surfaces in Nil_3 and Sol_3
Benoit Daniel, William H. Meeks, Harold Rosenberg
We prove some half-space theorems for minimal surfaces in the Heisenberg group Nil_3 and the Lie group Sol_3 endowed with their left-invariant Riemannian metrics. If S is a properl…