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In this paper, we study null helices, Cartan slant helices and two special developable surfaces associated to them in Lorentz–Minkowski 3-space. We give a method using a special plane curve… Click to show full abstract
In this paper, we study null helices, Cartan slant helices and two special developable surfaces associated to them in Lorentz–Minkowski 3-space. We give a method using a special plane curve to construct a null helix. We also define the null tangential Darboux developable of a null Cartan curve, and we give a classification of singularities of it. Moreover, we study the relationship between null helices (or Cartan slant helices) with the developable surfaces of them.
Keywords:
lorentz minkowski;
cartan slant;
helices cartan;
null helices;
minkowski space;
slant helices
Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019
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Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!