[PDF][PDF] Ruled surfaces constructed by planar curves in Euclidean 3-space with density

M Altın, A Kazan, H bayram Karadağ - Celal Bayar University …, 2020 - dergipark.org.tr
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 …

[PDF][PDF] Offset ruled surface in Euclidean space with density

N Ulucan, M Akyigit - Analele ştiinţifice ale Universităţii" Ovidius" …, 2021 - sciendo.com
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 …

Helicoidal surfaces in some conformally flat pseudo-spaces of dimensional three

F Yerli̇kaya - International Journal of Geometric Methods in …, 2023 - World Scientific
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 …

[PDF][PDF] Parallel Weingarten surface in Euclidean space with density ez

H Kormalı, M Akyigit - tcms.org.ge
In this study, the condition that the ruled surface of ϕ (u, v) in Euclidean 3− space with
density ez is a Weingarten surface has been studied. While this review is being conducted …