8 papers
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…
Smarandache curves and their properties on null curves in lightlike cone space
Fatma Almaz, Bilal TekyoldaÅ, Bilal Tekyoldaş
This study investigates the differential geometric properties of Smarandache curves derived from null curves defined in the ligtlike cone space . The…
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…