In the present study, firstly we give the mean and Gaussian curvatures of a Monge
hypersurface in 4-dimensional Euclidean space. After this, we study on Monge …

In the present paper, we obtain the weighted mean and weighted Gaussian curvatures of a
generalized rotation surface in E 4 with density e λ 1 x 2+ λ 2 y 2+ λ 3 z 2+ λ 4 t 2, where λ i …

In the present study, firstly we recall the parametric expressions of planar curves with zero
phi-curvature in Euclidean 3-space with density e^ ax_1 and with the aid of the Frenet frame …

For motion of a material point along a space curve, due to Siacci [1], a resolution of the
acceleration vector is well known. In this resolution, the acceleration vector is stated as the …

Nonnull Curves with Constant Weighted Curvature in Lorentz-Minkowski Plane with Density
Page 1 Turkish Journal of Mathematics Volume 44 Number 2 Article 18 1-1-2020 Nonnull …

In this study, the various expressions of the Gaussian curvature of timelike surfaces whose
parameter curves intersect under any angle are investigated and the Enneper formula is …

In this paper, offset ruled surfaces in these spaces are defined by using the geometry of
ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature …

We introduce the complete pseudo-Riemannian manifold 𝔼 3 1 with a conformally flat
pseudo-metric satisfying Einstein's equation. First, we get a theorem that associates the …

In this paper, normal and binormal surfaces, a special class of ruled surfaces in hyperbolic 3-
space, are discussed. These special surfaces are defined in hyperbolic 3-space and the …

In this paper, we construct a helicoidal surface with a prescribed weighted mean curvature
and weighted extrinsic curvature in a 3-dimensional complete manifold with a positive …