On generalized null Mannheim curves in Minkowski space-time

Grbović, Milica; İlarslan, Kazım; Nešović, Emilija

doi:10.2298/pim1613077g

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2020

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Cited by 2 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 Meth Appl Sci

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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