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Open AccessFeature PaperArticle

Slant Curves in Contact Lorentzian Manifolds with CR Structures

Institute of Basic Science, Chonnam National University, Gwangju 61186, Korea
Mathematics 2020, 8(1), 46; https://doi.org/10.3390/math8010046
Received: 11 December 2019 / Revised: 22 December 2019 / Accepted: 24 December 2019 / Published: 1 January 2020
(This article belongs to the Special Issue Sasakian Space)
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 . View Full-Text
Keywords: slant curves; Jacobi equation; CR structure; Lorentzian Sasakian space forms slant curves; Jacobi equation; CR structure; Lorentzian Sasakian space forms
MDPI and ACS Style

Lee, J.-E. Slant Curves in Contact Lorentzian Manifolds with CR Structures. Mathematics 2020, 8, 46.

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