12 papers
Curvatures of curves in endowed with a canonical linear connection
Muhittin Evren Aydın, Rafael López
We investigate the geometry of plane curves in endowed with a canonical linear connection. By introducing the notions of the tangential and geodesic curvatures, we p…
Prescribed Angle Surfaces Associated with Torse-Forming Vector Fields in Riemannian Manifolds
Muhittin Evren Aydın, Esra Dilmen, BüÅra Karakaya
In this paper, we introduce the notion of a prescribed angle hypersurface in a Riemannian manifold associated with a pair , where is a unit vector f…
Curves in Riemannian Manifolds Making Prescribed Angles With Torse-Forming Vector Fields
Muhittin Evren Aydin, Esra Dilmen, Busra Karakaya
In this paper, we introduce the notion of a prescribed angle curve in a Riemannian manifold associated with a pair , where is a unit vector field al…
Generalization of the catenary in the dual plane
Muhittin Evren Aydin, Rafael López
In this paper, we study a dual analogue of the classical catenary within the class of admissible curves in the dual plane . We introduce -catenaries in $\mathbb{D…
Constant curvature curves in dual affine and dual Lorentz-Minkowski planes
Muhittin Evren Aydın, Nursemin Ãavdar, Mahmut Ergüt
In this paper, we first study invariants of curves parametrized by a real variable in the dual plane under equiaffine transformations. We then obtain explicit equati…
Hypersurfaces in Riemannian manifolds with torse-forming axes
Muhittin Evren Aydın, Adela Mihai, Cihan Ãzgür
In this paper, we study orientable hypersurfaces in Riemannian manifolds for which the inner product is constant, where…