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Characterizations of dual curves and dual focal curves in dual Lorentzian space $ D^{3}_{1} $
2020
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-1909-6
Abstract:

In this paper, we have introduced dual Lorentzian connection, bracket and curvature tensor on dual Lorentzian space $ D_{1}^{3} .$ We have studied a dual curve in different situations in dual Lorentzian space $D^{3}_{1} $ and have found Bishop Darboux vector and some relations according to this vector field, Bishop frame and focal curve of the present dual curve. It has been shown that Bishop Darboux vector has a similar amount in three different cases of a dual curve and the first dual focal curvature of the aforementioned curve is constant function.

Keywords:

null
2020
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-1909-6
0
2020
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-1909-6
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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 712
2023 Impact : 0.039
Details
Turkish Journal of Mathematics