On k-type pseudo null slant helices due to the Bishop frame in Minkowski 3-space E13

Yasin Ünlütürk; Talat Körpınar; Muradiye Çimdiker; Yasin Ünlütürk; Talat Körpınar; Muradiye Çimdiker

doi:10.3934/math.2020019

AIMS Mathematics

2020, Volume 5, Issue 1: 286-299. doi: 10.3934/math.2020019

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Research article

On k-type pseudo null slant helices due to the Bishop frame in Minkowski 3-space E₁³

1.
Department of Mathematics, Kırklareli University, 39100, Kırklareli, Turkey
2.
Department of Mathematics, Muş Alparslan University, 49250, Muş, Turkey

Received: 22 August 2019 Accepted: 28 October 2019 Published: 11 November 2019
MSC : 53A99, 53B99

In this study, we examine k-type pseudo null slant helices due to the Bishop frame, where k∈{0, 1, 2}. There are two different cases of the Bishop frame of a pseudo null curve related to the Bishop curvatures. Based on these cases, we present that every pseudo null curve is a k-type pseudo null curve according to the Bishop frame in Minkowski 3-space E₁³. Then we obtain the axes of k-type pseudo null slant helices, and determine their causal characters.
- Bishop Frame,
- pseudo null curve,
- k-type pseudo null slant helix
Citation: Yasin Ünlütürk, Talat Körpınar, Muradiye Çimdiker. On k-type pseudo null slant helices due to the Bishop frame in Minkowski 3-space E13[J]. AIMS Mathematics, 2020, 5(1): 286-299. doi: 10.3934/math.2020019

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Abstract

In this study, we examine k-type pseudo null slant helices due to the Bishop frame, where k∈{0, 1, 2}. There are two different cases of the Bishop frame of a pseudo null curve related to the Bishop curvatures. Based on these cases, we present that every pseudo null curve is a k-type pseudo null curve according to the Bishop frame in Minkowski 3-space E₁³. Then we obtain the axes of k-type pseudo null slant helices, and determine their causal characters.

References

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