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Special helices on equiform differential geometry of timelike curves in E_1^4
2021
Journal:  
Cumhuriyet Science Journal
Author:  
Abstract:

In this paper, we introduce the moving Frenet frame along the timelike curve in E_1^4 and then Frenet formulas with the equiform parameter in the equiform geometry of the Minkowski space-time. We obtain k-type helices for equiform differential geometry of timelike curves in Minkowski space-time E_1^4, in terms of their curvature functions. We give some new characterizations for these helices and investigate the special helices in Minkowski space-time. Finally, we establish (k,m)-type slant helices for equiform differential geometry of timelike curves in E_1^4.

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2021
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Cumhuriyet Science Journal

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

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Article : 1.227
Cite : 642
Cumhuriyet Science Journal