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20032026
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133 citations

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math.DG2024

Constructions of Frenet Curves with respect to Semi-Symmetric Metric Connection

Şaban Güvenç

Using a semi-symmetric metric connection, we construct Frenet frame and curvatures of curves in 3-dimensional manifolds and give examples of semi-symmetric Frenet curves in Euclide…

math.DG2021★ 1 cited

Magnetic Curves in -manifolds

Şaban Güvenç

In this paper, we study normal magnetic curves in -manifolds. We prove that magnetic trajectories with respect to the contact magnetic fields are indeed -slant curves wit…

math.DG2020★ 40 cited

Almost -Ricci and almost -Yamabe solitons with torse-forming potential vector field

Adara M. Blaga, Cihan Özgür

We provide properties of almost -Ricci and almost -Yamabe solitons on submanifolds isometrically immersed into a Riemannian manifold $\left(\widetilde{M},\widetilde{g} \right…

math.DG2020★ 1 cited

On Pseudo-Hermitian Magnetic Curves in Sasakian Manifolds

Şaban Güvenç, Cihan Özgür

We define pseudo-Hermitian magnetic curves in Sasakian manifolds endowed with the Tanaka-Webster connection. After we give a complete classification theorem, we construct parametri…

math.DG2019★ 3 cited

On Interpolating Sesqui-Harmonic Legendre Curves in Sasakian Space Forms

Fatma Karaca, Cihan Özgür, Uday Chand De

We consider interpolating sesqui-harmonic Legendre curves in Sasakian space forms. We find the necessary and sufficient conditions for Legendre curves in Sasakian space forms to be…

math.DG2013★ 2 cited

Curves of Generalized AW(k)-type in Euclidean Spaces

Kadri Arslan, Saban Guvenc

In this study, we consider curves of generalized AW(k)-type of Euclidean n-space. We give curvature conditions of these kind of curves.