Null Kuaterniyonik Omurga Eğrisi Boyunca Kanal Yüzeyler

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.

Anahtar Kelimeler:

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

Canal Surfaces Through a Null Quaternionic Spine Curve

In this study, we give the parameterizations of the canal surfaces trough a null quaternionic spine curve by using the pseudo-spheres in ℝ??. 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,

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