This article is motivated by a problem posed by David A. Singer in 1999 and by the classical
Euler elastic curves. We study spacelike and timelike curves in the Lorentz-Minkowski plane …

Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem
of determining a plane curve whose curvature is given in terms of its position. We propound …

We study Kirchhoff elastic rod whose centerlines are non-null curves in the Minkowski 3−
space. In particular, we obtain the differential equation describing non-null Kirchhoff elastic …

We study hyperelastic curves known as a generalization of elastic curves in $3-$
dimensional lightlike cone which is a degenerate hypersurface in Minkowski $4-$ space as …

The solution of the variational problem which gives elastic strips in Minkowski 3-space is
separately obtained for elastic strips with null and pseudo-null directrix. First, critical points of …

In this paper, we study dual spacelike elastic biharmonic curves with spacelike binormal in
dual Lorentzian space D31. We use Noether's Theorem in our main theorem. Finally we …

The pseudo spherical indicatrix of a curve in Minkowski $3 $-space emerges as three types:
the pseudo spherical tangent indicatrix, principal normal indicatrix, and binormal indicatrix of …

In this study the mathematical idealization of the classical variational problem in 3-
dimemional indefinite-Riemannian Manifolds is studied for the curve α which is timelke and …

Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem
of determining a plane curve whose curvature is given in terms of its position. We propound …

Dual spacelike elastic biharmonic curves with spacelike principal normal according to dual
Bishop frames D3 Page 1 Revista Notas de Matemática Vol.7(2),No. 313, 2011, pp. 135-143 …