6 citations · 33 across the 39 of their papers we have counts for
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Constant curvature curves in dual affine and dual Lorentz-Minkowski planes
Muhittin Evren Aydın, Nursemin Çavdar, 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 Özgür
In this paper, we study orientable hypersurfaces in Riemannian manifolds for which the inner product is constant, where…
Extension of a problem of Euler in and in
Muhittin Evren Aydin, Antonio Bueno, Rafael López
In this paper, we extend the notion of stationary curves with respect to the moment of inertia from a point in the Euclidean plane to the case that the ambient s…
Invariant -translators for the Gauss curvature flow in Euclidean space
Muhittin Evren Aydin, Rafael López
A -translator is a surface in Euclidean space whose Gauss curvature satisfies , where is the Gauss map, is a fi…
Classification of ruled surfaces in Lorentz-Minkowski space that are stationary for the moment of inertia
Muhittin Evren Aydin, Rafael López
In this paper, we study hypersurfaces in Lorentz-Minkowski space that are stationary for the moment of inertia with respect to the origin. After giving examples…
Extension of a problem of Euler in Lorentz-Minkowski plane
Muhittin Evren Aydin, Rafael López
In this paper we study curves in Lorentz-Minkowski space that are critical points of the moment of inertia with respect to the origin. This extends a problem posed b…
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-…
Torqued and Anti-Torqued Vector Fields on Hyperbolic Spaces
Muhittin Evren Aydin, Adela Mihai, Cihan Özgür
In this paper, we study the existence of torqued and anti-torqued vector fields on the hyperbolic ambient space . Although there are examples of proper torqued vector…