Abstract
<p>A slant ruled surface is a unique type of ruled surface composed by Frenet vectors that form a constant angle with each other and with specific directions in space. In this paper, the non-null slant ruled surface, which is generated by the striction curve of the natural lift curve, was constructed with a novel approximation in $ E^{3}_{1} $. To establish the approximation, E. Study mapping was then applied to determine the relationship between pseudo-spheres and non-null slant ruled surfaces that are generated by the striction curves of the natural lift curves. Furthermore, $ \vec{\bar{q}}-, \vec{\bar{h}}-, \vec{\bar{a}}- $ spacelike (resp., timelike) slant ruled surfaces were classified by using the striction curves of the natural lift curves in $ E^{3}_{1} $. We also provided examples to illustrate the findings.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
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