6 papers · 1 filter
Generalized Wintgen inequalities for submanifolds of conformally flat manifolds
Cihan Özgür, Adara M. Blaga
We obtain generalized Wintgen inequalities for submanifolds of conformally flat manifolds. As applications, we derive corresponding inequalities for submanifolds of Riemannian mani…
Hypersurfaces in Riemannian manifolds with torse-forming axes
Muhittin Evren Aydın, Adela Mihai, Cihan Özgür
In this paper, we study orientable hypersurfaces in Riemannian manifolds for which the inner product is constant, where…
Anti-torqued slant helices and Torqued Curves in Riemannian manifolds
Muhittin Evren Aydin, Adela Mihai, Cihan Özgür
In this paper, we introduce the notion of an anti-torqued slant helix in a Riemannian manifold, defined as a curve whose principal vector field makes a constant angle with an anti-…
Rectifying submanifolds of Riemannian manifolds with anti-torqued axis
Muhittin Evren Aydin, Adela Mihai, Cihan Özgür
In this paper we study rectifying submanifolds of a Riemannian manifold endowed with an anti-torqued vector field. For this, we first determine a necessary and sufficient condition…
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…
On C-Parallel Legendre Curves in Non-Sasakian Contact Metric Manifolds
Cihan Özgür
In -dimensional non-Sasakian contact metric manifolds, we consider Legendre curves whose mean curvature vector fields are -parallel or -proper in…