Canal Surfaces Through a Null Quaternionic Spine Curve

Year 2022, Volume: 9 Issue: 2, 721 - 729, 31.12.2022

Gül Tuğ

https://doi.org/10.35193/bseufbd.1059044

Abstract

In this study, we give the parameterizations of the canal surfaces trough a null quaternionic spine curve by using the pseudo-spheres in ℝ𝟏𝟒. We also calculate the Gauss and Mean curvatures and obtain some corollaries related to the Cartan curvatures of the null quaternionic curve.

Keywords

Canal Surfaces, Cartan Frame, Null Quaternionic Curve, Semi Real Quaternions, Spine Curve, Kanal Yüzeyler, Cartan Çatısı, Null Kuaterniyonik Eğri, Yarı Reel Kuaterniyonlar, Omurga Eğrisi

Thanks

The author sincerely thanks to the editor and the referees for helpful suggestions.

Null Kuaterniyonik Omurga Eğrisi Boyunca Kanal Yüzeyler

Abstract

In this study, we give the parameterizations of the canal surfaces through a null quaternionic spine curve by using the pseudo-spheres in R_1^4. Besides, we give formulas for the Gauss and Mean curvatures and some corollaries related to the Cartan curvatures of the null quaternionic curve.

Keywords

Kanal Yüzeyler, Cartan Çatısı, Null Kuaterniyonik Eğri, Yarı Reel Kuaterniyonlar, Omurga Eğrisi

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