In this article, we characterize interpolating sesqui-harmonic spacelike curves in a fourdimensional conformally and quasi-conformally flat and conformally symmetric Lorentzian Para-Sasakian manifold. We give some theorems for these curves.
In this paper by establishing the Frenet frame for a timelike curve we study the different position vectors of timelike curves in Semi-Euclidean space. We gave the position vectors of timelike curves in terms of curvature functions which lie on the three dimensional subspaces of .
<abstract><p>In this paper, we give some characterizations of Frenet curves in 3-dimensional $ \delta $-Lorentzian trans-Sasakian manifolds. We compute the Frenet equations and Frenet elements of these curves. We also obtain the curvatures of non-geodesic Frenet curves on 3-dimensional $ \delta $-Lorentzian trans-Sasakian manifolds. Finally, we give some results for these curves.</p></abstract>
In this paper, we give some characterizations of Frenet curves in 3-dimensional contact Lorentzian Manifolds. We define Frenet equations and the Frenet elements of these curves. We also obtain the curvatures of non-geodesic Frenet curves on 3-dimensional contact Lorentzian Manifolds. Finally we give some corollaries and examples for these curves.
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