Pedal and contrapedal curves are important study objects of plane curves. As for a mixed-
type Minkowski plane curve, since the definitions of the pedal and contrapedal curves at …

We consider the energy-minimizing configuration of the Sadowsky-type functional for narrow
rectifying strips. We show that the functional is proportional to the p-Willmore functional …

In this study, we developed a mathematical framework for studying spherical and null curves
in dual Lorentzian 3‐space D 1 3. Considering the causal character of the dual curve …

In this paper, we define the ruled surface in terms of the Darboux vector field of an isotropic
curve in a complex 3-space, and we study the ruled surface as an elastic strip along the …

We investigate a dual bending energy functional that operates on the dual pseudo-sphere in
dual Lorentzian space. For a nonnull dual curve on the dual pseudo-sphere to be …

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 …

Solutions of a variational problem defined on the dual pseudo-hyperbolic space in dual
Lorentzian space are studied. Spacelike dual elastic curves in dual pseudo-hyperbolic …