Mappings that transform helices from Euclidean space to Minkowski space

Abstract

In this study, we introduce mappings that transform helices in Euclidean n -space to non-null helices in Minkowski n -space or Minkowski (n + 1)-space. Furthermore, we show that these mappings preserve the axes of the helices, and we also obtain the invariants of the mappings. Especially, by using these mappings, we give some examples of non-null helices which are constructed in Minkowski 3-space or Minkowski 4-space from some helices in Euclidean 3-space.