2 citations · 2 across the 11 of their papers we have counts for
12 papers
Third-order relativistic kinematics and Siacci shock decompositions via localised Darboux frames
Fatma Almaz, Çiğdem Yavuz
Constrained particle trajectories along lower-dimensional world sheets constitute a foundational domain in relativistic kinematics and submanifold theory. This paper establishes a…
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…
Smarandache curves and their properties on null curves in lightlike cone space
Fatma Almaz, Bilal Tekyoldaş
This study investigates the differential geometric properties of Smarandache curves derived from null curves defined in the ligtlike cone space . The…
On the invariant trajectories of lightlike paths near central potential singularities in semi-Riemannian manifolds of index 2
Fatma Almaz
In this study, the geometric properties of null helices on a totally umbilical submanifold within a three-dimensional semi-Riemannian manifold of index 2 are investigated. The pseu…
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…
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…
The physical approach on the surfaces of rotation in E24
Fatma Almaz
In this paper, some physical expressions as the specific energy and the specific angular momentum on these surfaces of rotation are investigated with the help of Clairaut's theorem…
The Clairaut's theorem on rotational surfaces in pseudo Euclidean 4-space with index 2
Fatma Almaz, Mihriban Alyamaç Külahcı
In this paper, Clairaut's theorem is expressed on the surfaces of rotation in semi Euclidean 4-space. Moreover, the general equations of time-like geodesic curves are characterized…
The Research on Rotational Surfaces in pseudo Euclidean 4-space with index 2
Fatma Almaz, Mihriban Alyamaç Külahcı
In this study, we define a brief description of the hyperbolic and elliptic rotational surfaces using a curve and matrices in 4-dimensional semi Euclidean space. That is, we provid…
Assesment of Smarandache Curves in the Null Cone Q^2
Mihriban Kulahci, Fatma Almaz
In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q^2. By using cone frame formulas, we present some characterizations of Smarand…