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math.DG2025
Biharmonic Curves in Warped Product Manifolds
Şaban Güvenç, Cihan Özgür
We explore the geometric properties of biharmonic curves in warped product manifolds of the form , where is an open interval and is a space of…
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.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.