Timelike Curves of Constant Breadth According to Bishop Frame in Minkowski 3-Space

Null Curves of Constant Breadth in Minkowski 4-Space

“…We assume that the tangents at the corresponding points (s) and (s) of the curves and are parallel in opposite directions. By using the equations (4),(5), (6) and 7we obtain the di¤erential equation given by (11).…”

“…In [9] and [1], the concepts about the curves of constant breadth were extended to spaces E 4 and E n , respectively. However, many mathematicians have been interested in studying curves of constant breadth in semi-Euclidean space [4], [5], [6], [11], [13], [14]. In [12], they proved that there does not exist null curves of constant breadth in Minkowski 3-space.…”

Tangent bundle of pseudo-sphere and Non-null slant ruled surfaces

“…According to this conventional conclusion, "a curve is a general helix if and only if the ratio of curvature to torsion is constant." There have been research about geometric interpretations of the general helix in the literature ( [2], [6], [14] and therein). The authors of [2] provided certain Lancret-type theorems in the three-dimensional Lorentzian space forms while taking into account the characteristics of general helices.…”

“…The helices on a Lorentzian manifold were denoted in [6]. In [14], the authors dealt with timelike curves of a constant slope in E 4 1 . In [10], the authors constructed an entirely novel curve known as the slant helix by using the general helix notion.…”