In this paper, we take advantage of envelope theory and singularity theory to study the
evolutoids and pedaloids in Minkowski plane. We illustrate an internal correlation from …

In this work, we investigate the differential geometric characteristics of pedal and primitive
curves in a Minkowski plane. A primitive is specified by the opposite structure for creating the …

In this paper, we define pedal and contrapedal curves of framed immersions, which can
have singularities, in the Euclidean 3-space and investigate the sufficient conditions that …

We study the notions of pedal curves, contrapedal curves and B-Gauss maps of non-lightlike
regular curves in Minkowski 3-space. Then we establish the relationships among the …

In this paper, we focus on geometry of evolutoids and pedaloids for timelike curves and
spacelike curves on timelike surfaces. First, by studying an example of a pseudo-circle, we …

We give a method for constructing generalized null Cartan helices, which may have
singularities, by using regular space-like plane curves and smooth functions in Minkowski 3 …

We introduce pseudo-spherical non-null framed curves in the three-dimensional anti-de
Sitter spacetime and establish the existence and uniqueness of these curves. We then give …

The evolutoid of a regular curve in the Lorentz‐Minkowski plane ℝ 1 2 is the envelope of the
lines between tangents and normals of the curve. It is regarded as the generalized caustic …

We define θ-isogonal curves for one-parameter families of Legendre curves. The θ-enveloid
for a given one-parameter family of Legendre curves is a plane curve that cuts each member …

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 …