3, ds2) with ds2 = dx2 + dy2 + [dz + 1 2 (ydx − xdy)]2, invariant by rotations about the z-axis. Here one finds a complete descrip-tion of all rotational surfaces with constant Gauss curvatureK in the Heisen-berg space H3. Despite many and substantial similarities with the Euclidean case, this family of surfaces displays some phenomena which do not have their counterpart in R3. For K = 0 there are three cases, for K> 0 also three cases, but for K < 0 five cases. The profile curves of all these case
Abstract. In this article we generalize the notion of constant angle surfaces in S2 × R and H2×R to ...
Abstract. In this paper we study constant positive Gauss curvature K surfaces in the 3-sphere S3 wit...
A twisted surface is constructed by performing on a planar curve, the profile curve, two simultaneou...
Abstract. In this paper we prove that a surface in Euclidean three-space R3 with nonzero constant Ga...
In this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S-1, where Q(2...
We consider the Gauss map of the rotational hypersurface in the four dimensional Euclide...
Weingarten surfaces are those whose principal curvatures satisfy a functional relation, whose set of...
A planar curve subject to two synchronized rotations, one in its supporting plane and one of this pl...
AbstractIt is proved that, in Minkowski 3-space, a CSM-helicoidal surface, i.e., a helicoidal surfac...
Abstract. The Gauss map of complete helicoidal (consequently rotational) sur-faces with non-zero con...
We classify constant mean curvature surfaces invariant by a 1-parameter group of isometries in the B...
Abstract. The aim of this paper is to present a complete description of all rotational linear Weinga...
ABSTRACT. We classify constant mean curvature surfaces invariant by a 1-parameter group of isometrie...
The present dissertation deals with the study of minimal and constant mean curvature surfaces in 3-d...
AbstractWe describe all surfaces in S2×R and H2×R with holomorphic Abresch–Rosenberg differential (o...
Abstract. In this article we generalize the notion of constant angle surfaces in S2 × R and H2×R to ...
Abstract. In this paper we study constant positive Gauss curvature K surfaces in the 3-sphere S3 wit...
A twisted surface is constructed by performing on a planar curve, the profile curve, two simultaneou...
Abstract. In this paper we prove that a surface in Euclidean three-space R3 with nonzero constant Ga...
In this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S-1, where Q(2...
We consider the Gauss map of the rotational hypersurface in the four dimensional Euclide...
Weingarten surfaces are those whose principal curvatures satisfy a functional relation, whose set of...
A planar curve subject to two synchronized rotations, one in its supporting plane and one of this pl...
AbstractIt is proved that, in Minkowski 3-space, a CSM-helicoidal surface, i.e., a helicoidal surfac...
Abstract. The Gauss map of complete helicoidal (consequently rotational) sur-faces with non-zero con...
We classify constant mean curvature surfaces invariant by a 1-parameter group of isometries in the B...
Abstract. The aim of this paper is to present a complete description of all rotational linear Weinga...
ABSTRACT. We classify constant mean curvature surfaces invariant by a 1-parameter group of isometrie...
The present dissertation deals with the study of minimal and constant mean curvature surfaces in 3-d...
AbstractWe describe all surfaces in S2×R and H2×R with holomorphic Abresch–Rosenberg differential (o...
Abstract. In this article we generalize the notion of constant angle surfaces in S2 × R and H2×R to ...
Abstract. In this paper we study constant positive Gauss curvature K surfaces in the 3-sphere S3 wit...
A twisted surface is constructed by performing on a planar curve, the profile curve, two simultaneou...