Tangential intersection curves of two surfaces in the three-dimensional Lorentz-Minkowski space

• Autores: Alessio, Osmar, Ramos Cintra Neto, Luiz Augusto
• Formato: artículo
• Fecha de Publicación: 2025
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revistas - Universidad Nacional de Trujillo
• Lenguaje: inglés
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/6625
• Enlace del recurso: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6625
• Nivel de acceso: acceso abierto
• Materia: Euler Rodrigues formula; Tangential Intersection; Lorentz Minkowski space; Surface-surface intersection; Fórmula Euler Rodrigues; Intersección Tangencial; Espacio Lorentz Minkowski; Intersección Superficie-superficie

We present algorithms for computing the differential geometry properties of tangential intersection curves of two surfaces in the three-dimensional Lorentz-Minkowski space E31 . We compute the tangent vector of tangential intersection curves of two surfaces parametric, where the surfaces can be: spacelike, timelike, or lightlike. The first method computed the tangent vector using the equality of the projection of the second derivative vector onto the normal vector and second method computes the tangent vector by applying a rotation to a vector projected onto the tangent space, where the axis of rotation is the normal vector of the surface. In Minkowski space, there are three types of rotations, since the normal vectors can be: spacelike, lightlike, or timelike.