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Slant Curves in Contact Lorentzian Manifolds with CR Structures

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  • Ji-Eun Lee

    (Institute of Basic Science, Chonnam National University, Gwangju 61186, Korea)

Abstract

In this paper, we first find the properties of the generalized Tanaka–Webster connection in a contact Lorentzian manifold. Next, we find that a necessary and sufficient condition for the ∇ ^ -geodesic is a magnetic curve (for ∇) along slant curves. Finally, we prove that when c ≤ 0 , there does not exist a non-geodesic slant Frenet curve satisfying the ∇ ^ -Jacobi equations for the ∇ ^ -geodesic vector fields in M . Thus, we construct the explicit parametric equations of pseudo-Hermitian pseudo-helices in Lorentzian space forms M 1 3 ( H ^ ) for H ^ = 2 c > 0 .

Suggested Citation

  • Ji-Eun Lee, 2020. "Slant Curves in Contact Lorentzian Manifolds with CR Structures," Mathematics, MDPI, vol. 8(1), pages 1-11, January.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:1:p:46-:d:304186
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    References listed on IDEAS

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    1. Jun-Ichi Inoguchi, 2003. "Biharmonic curves in Minkowski 3 -space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-4, January.
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