Euler-Rodrigues Rotation for computes the tangent vector and curvature vector of the intersection curve of two surface in 3D Lorentz-Minkowski space

Authors

  • Osmar Aléssio Institute of Exact, Natural Sciences and Education at Federal University of the Triangulo Mineiro, Brazil.
  • Luiz Augusto Ramos Cintra Neto Institute of Exact, Natural Sciences and Education at Federal University of the Triangulo Mineiro, Brazil.

DOI:

https://doi.org/10.17268/sel.mat.2025.02.14

Keywords:

Euler-Rodrigues formula, tangential intersection, Lorentz-Minkowski space, Surface-Surface intersection

Abstract

We present method computes the tangent and curvature vector of the intersection curve of two surface, parametric/implicit or implicit/implicit, in Lorentz-Minkowski space E3, by applying a Euler-Rodrigues rotation to a vector projected onto the tangent space. The axis of rotation is the normal vector of the surface (the surfaces can be timelike, spacelike or lightlike), therefore three types of rotations, since the normal vectors can be: spacelike, lightlike, or timelike.

References

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Published

2025-12-27

How to Cite

Aléssio, O., & Ramos Cintra Neto, L. A. (2025). Euler-Rodrigues Rotation for computes the tangent vector and curvature vector of the intersection curve of two surface in 3D Lorentz-Minkowski space. Selecciones Matemáticas, 12(02), 439 - 468. https://doi.org/10.17268/sel.mat.2025.02.14

Issue

Vol. 12 No. 02 (2025): August - December

Section

Articles

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