Structure Functions of Pseudo Null Curves in Minkowski 3-Space

Qian, Jinhua; Liu, Jie; Tian, Xueqian; Kim, Young Ho

doi:10.3390/math8010075

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Cited by 3 publications

(2 citation statements)

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“… [6] A pseudo null curve

which is parameterized by arclength in

can be framed by a unique Frenet frame

such that

where

0

1

, and

. In sequence,

is the tangent vector field, the principal normal vector field and the binormal vector field of

.…”

Section: Preliminariesmentioning

confidence: 99%

Pseudo null growth model and its classifications based on generalized vortex filament equation

Qian

Guo²,

Kim³

2022

Heliyon

Self Cite

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“… [6] A pseudo null curve

which is parameterized by arclength in

can be framed by a unique Frenet frame

such that

where

0

1

, and

. In sequence,

is the tangent vector field, the principal normal vector field and the binormal vector field of

.…”

Section: Preliminariesmentioning

confidence: 99%

Pseudo null growth model and its classifications based on generalized vortex filament equation

Qian

Guo²,

Kim³

2022

Heliyon

Self Cite

View full text Add to dashboard Cite

“…If α is a pseudo null curve, that is α is a spacelike curve with a null principal normal N , then the Frenet equations of α are given by [20] (2.5)…”

Section: Preliminariesmentioning

confidence: 99%

On Spherical Indicatrices and Their Spherical Image of Null Curves in Minkowski 3-Space

Arfah

2021

Journal of Universal Mathematics

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In this paper, we investigate the spherical images of null curves and null helixes in Minkowski 3-space. We provide the spherical indicatrices of null curves in Minkowski 3-space with their causal characteristics. We also show the conditions of spherical indicatrices of null curves to be a curve lying on pseudo-sphere in Minkowski 3-space. In addition, we give the properties of spherical indicatrices of null curves satisfying generalized helices and lying on pseudo-sphere in Minkowski 3-space.

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Normal Partner Curves of a Pseudo Null Curve on Dual Space Forms

2020

Self Cite

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In this work, a kind of normal partner curves of a pseudo null curve on dual space forms is defined and studied. The Frenet frames and curvatures of a pseudo null curve and its associate normal curve on de-Sitter space, its associate normal curve on hyperbolic space, are related by some particular function and the angles between their tangent vector fields, respectively. Meanwhile, the relationships between the normal partner curves of a pseudo null curve are revealed. Last but not least, some examples are given and their graphs are plotted by the aid of a software programme.

show abstract

Structure Functions of Pseudo Null Curves in Minkowski 3-Space

Cited by 3 publications

References 5 publications

Pseudo null growth model and its classifications based on generalized vortex filament equation

Pseudo null growth model and its classifications based on generalized vortex filament equation

On Spherical Indicatrices and Their Spherical Image of Null Curves in Minkowski 3-Space

Normal Partner Curves of a Pseudo Null Curve on Dual Space Forms

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