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

We show the existence of a-parameter family of properly Alexandrov-embedded surfaces
with constant mean curvature in. They are symmetric with respect to a horizontal slice and …

We consider constant mean curvature surfaces invariant by a continuous group of isometries
and lying at bounded distance from a horizontal geodesic on any homogeneous 3-manifold …

We prove that a properly embedded annular end of a surface in H2 R with constant mean
curvature 0< H Ä 1= 2 can not be contained in any horizontal slab. Moreover, we show that a …

We study the global geometry of families of tubes of constant mean curvature invariant under
screw-motions in homogeneous $\mathbb {E}(\kappa,\tau) $-spaces. In particular, we study …

We study the geometry of non-minimal surfaces of supercritical constant mean curvature
invariant under screw motions in the homogeneous 3-manifolds E (κ, τ) including the space …

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 …