Non-null slant ruled surfaces and tangent bundle of pseudo-sphere
AIMS Mathematics, cilt.9, sa.8, ss.22842-22858, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 8
- Basım Tarihi: 2024
- Doi Numarası: 10.3934/math.20241111
- Dergi Adı: AIMS Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Sayfa Sayıları: ss.22842-22858
- Anahtar Kelimeler: non-null vectors, slant ruled surface, tangent bundle of pseudo-sphere
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
A slant ruled surface is a unique type of ruled surface composed by Frenet vectors that form a constant angle with each other and with specific directions in space. In this paper, the non-null slant ruled surface, which is generated by the striction curve of the natural lift curve, was constructed with a novel approximation in E31. To establish the approximation, E. Study mapping was then applied to determine the relationship between pseudo-spheres and non-null slant ruled surfaces that are generated by the striction curves of the natural lift curves. Furthermore, q−,h−,ā− spacelike (resp., timelike) slant ruled surfaces were classified by using the striction curves of the natural lift curves in E31. We also provided examples to illustrate the findings.