4 papers
Height estimates for surfaces with some constant curvature in
Jairo Delgado, Haimer A. Trejos, Carlos Peñafiel
In this paper, we obtain the necessary equations in a conformal parameter induced by the first or second fundamental forms for a surface that is isometrically immersed in the warpe…
Elliptic Weingarten surfaces of minimal type in
Carlos Peñafiel, Bernardo A. Quaglia, Haimer A. Trejos
In this paper, we study the elliptic Weingarten surfaces of minimal type immersed in the warped product space , when is a -function in…
Capillary Immersions in E(,)
Haimer A. Trejos
In [3] and [11] the authors showed the existence of a Codazzi pair defined on any constant mean curvature surface in the homogeneous spaces E(,) associated to the Abresch-Ros…
The Abresch-Rosenberg Shape Operator and applications
José M. Espinar, Haimer A. Trejos
There exists a holomorphic quadratic differential defined on any surface immersed in the homogeneous space given by U. Abresch and H. Rosenberg, called the A…