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20172026
most citedThe Research on Rotational Surfaces in pseudo Euclidean 4-space with index 2

2 citations · 2 across the 11 of their papers we have counts for

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math.DG2026

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…

math.DG2025

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…

math.DG2025

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…

math.DG2025

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…

math.DG2025

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…

math.DG2025

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…

math.DG2021

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…

math.DG2021

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…

math.DG2021★ 2 cited

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…