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math.DG2024
Unveiling Biharmonic Slant Curves in Space Forms
Şaban Güvenç
In this paper, we firstly provide a concise overview of manifolds, -biharmonicity and -slant curves. We then derive a key equation and analyze it in detail…
math.DG2021
Legendre Trajectories of Trans--Manifolds
Şaban Güvenç
In this paper, we consider Legendre trajectories of trans--manifolds. We obtain curvature characterizations of these curves and give a classification theorem. We also investigat…
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…