7 papers · 1 filter
A generalisation of g-rectifying and g-normal curves in Lorentzian n-space
Fatma Almaz, Hazel Diken
In this paper, we introduce and analyze rectifying curves (spacelike and null curves) and normal curves in Lorentzian -space, building upon the established notion of r…
A geometric perspective on the inextensible flows and energy of curves in 4-dimensional pseudo-Galilean space
Fatma Almaz, Handan Oztekin
In this study, inextensible flows of curves in four-dimensional pseudo-Galilean space are expressed, and the necessary and sufficient conditions of these curve flows are given as p…
Some discussions on null helices in 3D semi-Riemannian manifold
Fatma Almaz
In this study, the geometric properties of null helices on a totally umbilical submanifold within a three-dimensional semi-Riemannian manifold are investigated. The pseudo-Riemanni…
A review on the Vn-slant helices in lightlike cone Qn+1 En+2
Fatma Almaz, Handan Oztekin
In this paper, Vn-slant helices and the harmonic curvature functions of Vn-slant helices are de ned in lightlike cone Qn+1, and the differential equations of the harmonic curvature…
Notes on the Geometry of Electromagnetic Fields and Maxwell's Equations along a non-null curves in non flat-3D space forms
Fatma Almaz, Cumali Ekici
In this paper, the directional derivatives in accordance with the orthonormal frame {T, N, B} are defined in , and the extended Serret-Frenet relations by using Frene…
The investigation of some special curves in the pseudo-Galilean 4-space
Fatma Almaz, Handan Oztekin
In this paper, we investigate and characterise an arbitrary admissible curve in terms of its curvature functions in the pseudo-Galilean space % . We also give some speci…