Mappings that transform helices from Euclidean space to Minkowski space

Year 2022, Volume: 51 Issue: 5, 1333 - 1347, 01.10.2022

Hasan Altınbaş , Mahmut Mak , Bülent Altunkaya , Levent Kula

https://doi.org/10.15672/hujms.915138

Cited By: 3

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

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