Relatively normal-slant helices in Minkowski $3$-space

Akhilesh Yadav; Ajay Kumar Yadav

Relatively normal-slant helices in Minkowski $3$-space

General Mathematics 2022-01-12 v1

Authors: Akhilesh Yadav , Ajay Kumar Yadav

Abstract

In this paper, we study relatively normal-slant helices lying on timelike as well as spacelike surfaces in Minkowski $3$ -space $\mathbb{E}_1^3$ . The axes of spacelike and timelike relatively normal-slant helices are obtained via their Darboux frames. We also establish characterization theorems for spacelike and timelike relatively normal-slant helices in Minkowski $3$ -space $\mathbb{E}_1^3$ . Finally, the relationship between relatively normal-slant helices and slant helices is found on timelike as well as spacelike surfaces.

Keywords

surfaces with constant mean curvature lorentzian geometry differential geometry of surfaces and curves in euclidean space

Cite

@article{arxiv.2201.03933,
  title  = {Relatively normal-slant helices in Minkowski $3$-space},
  author = {Akhilesh Yadav and Ajay Kumar Yadav},
  journal= {arXiv preprint arXiv:2201.03933},
  year   = {2022}
}

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