In this work, we obtain new results by examining the adjoint curve and focal curve, which are examples of associated curves. In particular, we examine the focal curve of the adjoint curve of a timelike curve we have described with quasi-frame ( Q-frame) elements in 3D Minkowski space M1^3. We first characterize the focal curves of adjoint curves by considering the Q-frame in M1^3 . Next, we determine the focal curvatures of this curve. In the last section, we give some results by obtaining the focal curve in M1^3 in terms of principal curve and adjoint curve.
In this paper we study three-dimensional quasi-Sasakian manifolds admitting the Schoutenvan Kampen connection. Also, we study D-homothetic deformations on three-dimensional quasi-Sasakian manifolds admitting Schouten-van connection and projectively flat threedimensional quasi-Sasakian manifolds admitting scv connection.
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