Mappings that transform helices from Euclidean space to Minkowski space
Open Access
- 1 October 2022
- journal article
- research article
- Published by Hacettepe University in Hacettepe Journal of Mathematics and Statistics
- Vol. 51 (5) , 1333-1347
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
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