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 construct the first examples of complete, properly embedded minimal surfaces in ℍ 2× ℝ
with finite total curvature and positive genus. These are constructed by gluing copies of …

Laurent Hauswirth and Harold Rosenberg developed in 5 the theory of minimal surfaces
with finite total curvature in \mathbbH^2*\mathbbR. They showed that the total curvature of …

It is known that a complete immersed minimal surface with finite total curvature in H^ 2 * RH
2× R is proper, has finite topology and each one of its ends is asymptotic to a geodesic …

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 this paper, we develop the theory of properly immersed minimal surfaces in the quotient
space (H^ 2 * R)/G,(H 2× R)/G, where G is a subgroup of isometries generated by a vertical …

Abstract For each $ k\geq 3$, we construct a $1 $-parameter family of complete properly
Alexandrov-embedded minimal surfaces in the Riemannian product space $\mathbb {H} …

arXiv:2001.07028v1 [math.DG] 20 Jan 2020 Page 1 GENUS ONE MININAL k-NOIDS AND
SADDLE TOWERS IN H2 × R JESÚS CASTRO-INFANTES AND JOSÉ M. MANZANO Abstract …

For each k>= 3, we construct a 1-parameter family of complete properly Alexandrov-
embedded minimal surfaces in the Riemannian product space H-2 x R with genus 1 and k …

Las superficies que minimizan algún tipo de funcional de energıa aparecen de forma
natural en diferentes áreas. Este es el caso particular de las superficies mınimas, que son …