This survey paper investigates, from a purely geometric point of view, Daniel's isometric
conjugation between minimal and constant mean curvature surfaces immersed in …

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Let $\mathbb {E} $ be a connected and orientable Riemannian 3-manifold with a non-
singular Killing vector field $\xi\in\mathfrak {X}(\mathbb {E}) $ whose associated one …

In the homogeneous manifold $\mathbb {E}(-1,\tau), $ for $0< H<\tfrac {1}{2}, $ we prove the
existence of entire $ H $-graphs which are asymptotic to a rectifiable curve of the asymptotic …

We develop a conformal duality for space‐like graphs in Riemannian and Lorentzian three‐
manifolds that admit a Riemannian submersion over a Riemannian surface whose fibers are …

We construct two different families of properly Alexandrov-immersed surfaces in H2 R with
constant mean curvature 0< H Ä 1= 2, genus one and k 2 ends (k D 2 only for one of these …

In the homogeneous manifold E (-1, τ), for 0< H< 1 2, we prove the existence of entire H-
graphs which are asymptotic to a rectifiable curve of the asymptotic boundary. We also find …