Mappings that transform helices from Euclidean space to Minkowski space

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Hacettepe Journal of Mathematics and Statistics
Volume: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 : 22 | Download : 7

Publication Date : 2022-10-01

Article Type : Research Paper

Abstract :In this study, we introduce mappings that transform helices in Euclidean $ n $-space to non-null helices in Minkowski $ n $-space or Minkowski $ insert ignore into journalissuearticles values(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

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