Tangential intersection curves of two surfaces in the three-dimensional Lorentz-Minkowski space
DOI:
https://doi.org/10.17268/sel.mat.2025.01.09Palabras clave:
Fórmula Euler Rodrigues, Intersección Tangencial, Espacio Lorentz Minkowski, Intersección Superficie-superficieResumen
Presentamos algoritmos para calcular las propiedades de la geometría diferencial de las curvas de intersección tangencial de dos superficies en el espacio de Lorentz-Minkowski tridimensional E31. Calculamos el vector tangente de las curvas de intersección tangencial de dos superficies paramétricas, donde las superficies pueden ser: espaciales (spacelike), temporales (timelike) o isotrópicas (lightlike). El primer método calcula el vector tangente utilizando la igualdad de la proyección del vector derivada segunda sobre el vector
normal. El segundo método calcula el vector tangente aplicando una rotación a un vector proyectado sobre el espacio tangente, donde el eje de rotación es el vector normal de la superficie. En el espacio de Minkowski, existen tres tipos de rotaciones, ya que los vectores normales pueden ser: espaciales, isotrópicos o temporales.
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