- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 5
- Mappings that transform helices from Euclidean space to Minkowski space
Mappings that transform helices from Euclidean space to Minkowski space
Authors : Hasan Altinbaş, Mahmut Mak, Bülent Altunkaya, Levent Kula
Pages : 1333-1347
Doi:10.15672/hujms.915138
View : 10 | Download : 3
Publication Date : 2022-10-01
Article Type : Research
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.Keywords : helix, mapping, invariants