Abstract
Abstract In this study we define the notion of (k,m)-type slant helices in Minkowski 4-space and express some characterizations for partially and pseudo null curves in 𝔼 1 4 {\rm{\mathbb E}}_1^4 .
Highlights
The curve theory has been one of the most studied research area because of having many application area from geometry to the various branch of science
The subject is considered in 3−, 4−, and n−dimensional Eucliedan spaces, respectively in [7, 10, 12]
Turgut extended this study to the k-type slant helix in E14. In this study they called α curve as k-type slant helix if there exists on constant vector field U ∈ E14 such that Vk+d,U = const, for 0 ≤ k ≤ 3
Summary
The curve theory has been one of the most studied research area because of having many application area from geometry to the various branch of science. Abstract In this study we define the notion of (k, m)-type slant helices in Minkowski 4-space and express some characterizations for partially and pseudo null curves in E41. In this study they called α curve as k-type slant helix if there exists on (non-zero) constant vector field U ∈ E14 such that Vk+d,U = const, for 0 ≤ k ≤ 3.
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