Yazar "Güvenç, Şaban" için listeleme
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C-parallel and c-proper slant curves of S-manifolds
Güvenç, Şaban; Özgür, Cihan (Univ Nis, 2019)In the present paper, we define and study C-parallel and C-proper slant curves of S-manifolds. We prove that a slant curve gamma in an S-manifold of order r >= 3, under certain conditions, is C-parallel or C-parallel in ... -
Değme yarı-Hermitsel 3-manifoldlarda eğriler
Güvenç, Şaban (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2011)Bu çalışmada bir değme yarı-Hermitsel 3-manifold üzerindeki Tanaka-Webster koneksiyonu ve özellikleri verilmiş; bu yarı-Hermitsel yapı üzerinde tanımlanmış kavramlar kullanılarak, Tanaka-Webster koneksiyonuna göre geodezik ... -
An extended family of slant curves in S−manifolds
Güvenç, Şaban (Murat Tosun, 2020)In this paper, we define an extended family of slant curves (i.e. θα−slant curves) in S−manifolds. We give two examples of such curves in R 2n+s (−3s), where we choose n = 1, s = 2. Finally, we study biharmonicity of ... -
Legendre trajectories of trans-s-manifolds
Güvenç, Şaban (Korean Mathematical Soc, 2022)In this paper, we consider Legendre trajectories of trans -S manifolds. We obtain curvature characterizations of these curves and give a classification theorem. We also investigate Legendre curves whose Frenet frame fields ... -
Magnetic curves in c-manifolds
Güvenç, Şaban (Int Electronic Journal Geometry, 2022)In this paper, we study normal magnetic curves in C-manifolds. We prove that magnetic trajectories with respect to the contact magnetic fields are indeed theta(alpha)-slant curves with certain curvature functions. Then, ... -
A note on f-biharmonic legendre curves in s-space forms
Güvenç, Şaban (Int Electronic Journal Geometry, 2019)In this paper, we study f-biharmonic Legendre curves in S-space forms. Our aim is to find curvature conditions for these curves and determine their types, i.e., a geodesic, a circle, a helix or a Frenet curve of osculating ... -
On Biharmonic Legendre curves in S-space forms
Güvenç, Şaban; Özgür, Cihan (Scientific Technical Research Council Turkey-Tubitak, 2014)We study biharmonic Legendre curves in S-space forms. We find curvature characterizations of these special curves in 4 cases. -
On pseudo-hermitian biharmonic slant curves in sasakian space forms endowed with the tanaka-webster connection
Güvenç, Şaban (Springer Singapore Pte Ltd, 2020)In this paper, we consider pseudo-Hermitian biharmonic slant curves in (2n + 1)-dimensional Sasakian manifolds endowed with the Tanaka-Webster connection. We investigate pseudo-Hermitian curvatures of slant curves in six ... -
On slant curves in s-manifolds
Güvenç, Şaban; Özgür, Cihan (Korean Mathematical Soc, 2018)In this paper, we consider biharmonic slant curves in S-space forms. We obtain a main theorem, which gives us four different cases to find curvature conditions for these curves. We also give examples of slant curves in R2n+s(-3s). -
On slant curves in trans-sasakian manifolds
Güvenç, Şaban; Özgür, Cihan (Union Matematica Argentina, 2014)We find the characterizations of the curvatures of slant curves in trans-Sasakian manifolds with C-parallel and C-proper mean curvature vector field in the tangent and normal bundles. -
On slant magnetic curves in s-manifolds
Güvenç, Şaban; Özgür, Cihan (Taylor & Francis Ltd, 2019)We consider slant normal magnetic curves in (2n + 1)-dimensional S-manifolds. We prove that gamma is a slant normal magnetic curve in an S-manifold (M2m+s, phi, xi(alpha), eta(alpha), g) if and only if it belongs to a list ... -
On some classes of biharmonic legendre curves in generalized sasakian space forms
Özgür, Cihan; Güvenç, Şaban (Springer-Verlag Italia Srl, 2014)We find the characterizations of the curvatures of biharmonic Legendre curves in generalized Sasakian space forms with constant functions. -
On some types of slant curves in contact pseudo-hermitian 3-manifolds
Özgür, Cihan; Güvenç, Şaban (Polish Acad Sciences İnst Mathematics, 2012)We study slant curves in contact Riemannian 3-manifolds with pseudo-Hermitian proper mean curvature vector field and pseudo-Hermitian harmonic mean curvature vector field for the Tanaka-Webster connection in the tangent ... -
On the characterizations of f-biharmonic legendre curves in sasakian space forms
Güvenç, Şaban; Özgür, Cihan (Univ Nis, 2017)We consider f-biharmonic Legendre curves in Sasakian space forms. We find curvature characterizations of these types of curves in four cases. -
Riemann manifoldları üzerinde slant eğriler
Güvenç, Şaban (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2015)Bu çalışmada, Riemann manifoldları üzerinde slant eğriler ve bunların özel bir durumu olan Legendre eğrileri ele alınmıştır. Genelleştirilmiş Sasakian uzay formlarda Legendre eğrilerinin ve S-uzay formlarda slant eğrilerin ...
