On generalized null Mannheim curves in Minkowski space-time

Grbović, Milica; İlarslan, Kazım; Nešović, Emilija

doi:10.2298/pim1613077g

Cited by 2 publications

(1 citation statement)

References 6 publications

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“…In Minkowski space–time, generalized null Mannheim curves are studied in Grbović et al 14 They show that every null helix lying fully in

{double-struckE}_{1}^{4}

is generalized null Mannheim curve whose generalized Mannheim mate curve is a spacelike or a timelike helix. Also, they prove that there are no generalized null Mannheim curves whose generalized Mannheim mate curve is a pseudo null curve.…”

Section: Introductionmentioning

confidence: 99%

On generalized null Mannheim curves in E24

İlarslan

Aslan

2020

Math Methods in App Sciences

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In the present paper, we introduce the notion of Cartan‐framed generalized null Mannheim curves in four‐dimensional semi‐Euclidean space with index 2, double-struckE24. We obtain the Cartan (or Frenet) frames and curvature functions of the generalized Mannheim mate curve by the help of curvature functions and Cartan frames of the generalized null Mannheim curve. We proved that there are no generalized null Mannheim curves with timelike principal normal N in double-struckE24. The related examples and their projected images are also given.

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“…In Minkowski space–time, generalized null Mannheim curves are studied in Grbović et al 14 They show that every null helix lying fully in

{double-struckE}_{1}^{4}

Section: Introductionmentioning

confidence: 99%

On generalized null Mannheim curves in E24

İlarslan

Aslan

2020

Math Methods in App Sciences

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Mannheim B-curve couples in Minkowski 3-space

et al. 2020

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In this paper, we define null Cartan and pseudo null Mannheim curves in Minkowski 3-space according to their Bishop frames. We obtain the necessary and the sufficient conditions for pseudo null curves to be Mannheim B-curves in terms of their Bishop curvatures. We prove that there are no null Cartan curves in Minkowski 3-space which are Mannheim B-curves, by considering the cases when their Mannheim B-mate curves are spacelike, timelike, null Cartan and pseudo null curves. Finally, we give some examples of pseudo null Mannheim B-curve pairs.

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On generalized null Mannheim curves in Minkowski space-time

Abstract: We define generalized null Mannheim curves in Minkowski space-time and characterize them and their generalized Mannheim mate curves in terms of curvature functions, and obtain relations between their frames. We provide examples of such curves.

Cited by 2 publications

References 6 publications

On generalized null Mannheim curves in E24

On generalized null Mannheim curves in E24

Mannheim B-curve couples in Minkowski 3-space

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