42 citations · 66 across the 9 of their papers we have counts for
10 papers
A property that characterizes the Enneper surface and helix surfaces
Pascual Lucas, José Antonio Ortega-Yagües
The main goal of this paper is to show that helix surfaces and the Enneper surface are the only surfaces in the 3-dimensional Euclidean space whose isogonal lines are general…
Concircular helices and concircular surfaces in Euclidean 3-space R3
Pascual Lucas, José Antonio Ortega-Yagües
In this paper we characterize concircular helices in by means of a differential equation involving their curvature and torsion. We find a full description of concircular surf…
A generalization of the notion of helix
Pascual Lucas, José Antonio Ortega-Yagües
In this paper we generalize the notion of helix in the three-dimensional Euclidean space, which we define as that curve for which there is an -constant vector field alon…
L1-2-type surfaces in 3-dimensional De Sitter and anti De Sitter spaces
S. Carolina García-Martínez, Pascual Lucas, H. Fabián Ramírez-Ospina
Let be an orientable surface immersed in the De Sitter space in or anti de Sitter space in . In the case that is of -2-type we prove tha…
Concircular hypersurfaces and concircular helices in space forms
Pascual Lucas, José Antonio Ortega-Yagües
In this paper, we find a full description of concircular hypersurfaces in space forms as a special family of ruled hypersurfaces. We also characterize concircular helices in 3-dime…
Integrability aspects of the vortex filament equation for pseudo-null curves
José del Amor, Ángel Giménez, Pascual Lucas
An algebraic background in order to study the integrability properties of pseudo-null curve motions in a -dimensional Lorentzian space form is developed. As an application we de…