Relatively normal-slant helices in Minkowski 3-space

2022/01/06 by Akhılesh Yadav, Ajay Yadav, Yadav, Akhilesh +1
Mathematics · Medicine · Physics and Astronomy · #53A04 #53A05 #53A35 #Advanced Differential Geometry Research #FOS: Mathematics #General Mathematics (math.GM) #Geometric Analysis and Curvature Flows #Ophthalmology and Eye Disorders

paper · pdf · doi:10.48550/arxiv.2201.03933

openalex publication_date 2022/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study relatively normal-slant helices lying on timelike as well as spacelike surfaces in Minkowski 3-space 𝔼₁³. 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 𝔼₁³. Finally, the relationship between relatively normal-slant helices and slant helices is found on timelike as well as spacelike surfaces.

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