Transversal Intersection Curves of Two Surfaces in Minkowski 3-Space

• Autores: Alêssio, Osmar, Badr, Sayed A.-N., Hassan, Soad A., Rodrigues, Luciana A., Silva, Fabio N., Soliman, M.A.
• Formato: artículo
• Fecha de Publicación: 2018
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revista UNITRU - Selecciones Matemáticas
• Lenguaje: inglés
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/2192
• Enlace del recurso: http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2192
• Nivel de acceso: acceso abierto
• Materia: Espacio tridimensional de Minkowski; Intersección Superficie-superficie; Curva pseudo nula; Curva nula; Referencial nulo; Superficie tipo luz; Referencial de Darboux; Minkowski 3-Space; Surface-Surface intersection; Pseudo null curve; Null curve; Null frame; Lightlike surface; Darboux Frame

In this paper, we study the differential geometry of the transversal intersection curve of two surfaces in Minkowski 3-space, where each pair satisfies the following types spacelike-lightlike, timelike-lightlike and lightlike-lightlike. Surfaces are generally give by their parametric or implicit equations, then the surfacesurface intersection problem appear commonly as parametric-parametric, parametric-implicit and implicitimplicit.We derive the Frenet frame, Darboux frame, curvature, torsion, normal curvature and geodesic curvatures of transversal intersections for all types of intersection problems. We show the intersection curve may be spacelike (timelike, lightlike or pseudo null) curve. Finally, we show our methods by given several examples.