$D_{i}-$Darboux Slant Helices on Surface

In this study, we consider $D_{i}$-Darboux slant helices which are new surface curves on an oriented surface. We give some characterizations for such curves according to the Darboux frame, OD-frame, ND-frame, RD-frame, and obtain axes of the $D_{i}$-Darboux slant helices. Moreover, the position vectors of the $D_{i}$-Darboux slant helices are obtained.

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Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2024-12-22
DOI
https://doi.org/10.47000/tjmcs.1310722
Citations
1
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.37

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article

$D_{i}-$Darboux Slant Helices on Surface

Hüseyin Kocayiğit, Tuba Ağırman Aydın, Akın Alkan
1 citations
Turkish Journal of Mathematics and Computer Science
Advanced Numerical Analysis Techniques
0.37
article

$D_{i}-$Darboux Slant Helices on Surface

Hüseyin Kocayiğit, Tuba Ağırman Aydın, Akın Alkan
article en
1 citations

Abstract

In this study, we consider $D_{i}$-Darboux slant helices which are new surface curves on an oriented surface. We give some characterizations for such curves according to the Darboux frame, OD-frame, ND-frame, RD-frame, and obtain axes of the $D_{i}$-Darboux slant helices. Moreover, the position vectors of the $D_{i}$-Darboux slant helices are obtained.

Turkish Journal of Mathematics and Computer ScienceVol. 16(2)
Bayburt University (TR), Manisa Celal Bayar University (TR)
Manisa Celal Bayar Üniversitesi
Openalex Percentile: Top 40%
Advanced Numerical Analysis Techniques
0.37
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