Cartan Clad Helices and Null Darboux Developable Surfaces in Minkowski 3-Space
Hanrui Zhao, Jie Huang
Source abstract
In this paper, we study two special null Cartan curves in Minkowski 3-space, namely Cartan clad helices and Cartan g-clad helices, which are generalizations of the notions of null helices and Cartan slant helices. We establish the necessary and sufficient conditions for these two special null helices by using curvature and torsion. We also define two special null Darboux developable surfaces of a null Cartan curve, explore their relationship with the two special classes of null helices, and classify their singularities.
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