Dergiler / Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi / 2022 / Cilt: 9 - Sayı: 2

Null Kuaterniyonik Omurga Eğrisi Boyunca Kanal Yüzeyler

Canal Surfaces Through a Null Quaternionic Spine Curve

Sayfa
721–729
DOI
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Özet

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.

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.

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