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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.DG2003★ 1 cited
Minimal disks bounded by three straight lines in Euclidean space and trinoids in hyperbolic space
Benoit Daniel
Following Riemann's idea, we prove the existence of a minimal disk in Euclidean space bounded by three lines in generic position and with three helicoidal ends of angles less than…
math.DG2003
Flux for Bryant surfaces and applications to embedded ends of finite total curvature
Benoit Daniel
We compute the flux of Killing fields through ends of constant mean curvature 1 in hyperbolic space, and we prove a result conjectured by Rossman, Umehara and Yamada : the flux mat…