Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
On Tzitzeica Curves According to Q-Frame in Euclidean 3-Space
Eurasia Proceedings of Science, Technology, Engineering and Mathematics · Ocak 2022
YÖKSİS Kayıtları
On Tzitzeica Curves According to Q-Frame in Euclidean 3-Space
The Eurasia Proceedings of Science Technology Engineering and Mathematics · 2022 Scopus
PROFESÖR MUHAMMED TALAT SARIAYDIN →
On Tzitzeica Curves According to Q-Frame in Euclidean 3-Space
The Eurasia Proceedings of Science Technology Engineering and Mathematics · 2022 Scopus
DOKTOR ÖĞRETİM ÜYESİ AZİZ YAZLA →
Makale Bilgileri
DergiEurasia Proceedings of Science, Technology, Engineering and Mathematics
Yayın TarihiOcak 2022
Cilt / Sayfa17 · 19-25
Scopus ID2-s2.0-85140411497
Erişim🔓 Açık Erişim
Özet
Tzitzeica curve is a special spatial curve, which introduced Gheorghe Tzitzeica in 1911. Gheorghe Tzitzeica defined this curve as follows; for a spatial curve ϕ, "if the ratio of its torsion τ and the square of the distance d from the origin to the osculating plane at an arbitrary point of the curve is constant, then this spatial curve is a Tzitzeica curve in Euclidean space." Moreover Gheorghe Tzitzeica defined a special surface which is named Tzitzeica surface in 1907. In this surface, the asymptotic lines of Tzitzeica surfaces with negative Gaussian curvature are Tzitzeica curves. Also, the ratio of its Gaussian curvature K and the distance d from the origin to the tangent plane at any arbitrary point of the surface is constant. In this paper, we study the Tzitzeica curve via q-frame in E3 . Firstly, we redefine the Tzitzeica curve q-frame in Euclidean 3-space. Then, it is obtained some conditions for the Tzitzeica curve as a spherical curve. Finally, we investigate harmonic vector cases of the Tzitzeica curve according to q-frame in Euclidean space.
Yazarlar (2)
1
Muhammed Talat Sariaydin
2
Aziz Yazla
Anahtar Kelimeler
q-frame
Spherical curve
Tzitzeica curve
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey