Generalized Spacelike Normal Curves in Minkowski Three-Space
Abstract: Equiform geometry is considered an extension of other geometries. Furthermore, an
equiform frame is a generalization of the Frenet frame. In this study, we begin by defining the term
“equiform parameter (EQP)”, “equiform frame”, and “equiform formulas (EQF)” in regard to the
Minkowski three-space. Second, we define spacelike normal curves (SPN) in Minkowski three-space
and present a variety of descriptions of these curves with equiform spacelike (EQS) or equiform
timelike (EQN) principal normals in Minkowski three-space. Third, we discuss the implications of
these findings. Finally, an example is given to illustrate our theoretical results.
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