Canal Hypersurfaces Generated by Pseudo-Null Curves with Bishop Frame in Lorentz–Minkowski 4-Space
Symmetry, cilt.18, sa.6, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 6
- Basım Tarihi: 2026
- Doi Numarası: 10.3390/sym18060935
- Dergi Adı: Symmetry
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: Bishop frame, canal hypersurface, minimal hypersurface, pseudo-null curve, tubular hypersurface
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
In this paper, we deal with the canal hypersurfaces that are formed as the envelope of a family of pseudo-hyperspheres or pseudo-hyperbolic hyperspheres with centers lying on a pseudo-null curve with Bishop vector fields in four-dimensional Lorentz–Minkowski space. We give main theorems which contain the parametric expressions of these canal hypersurfaces along with their Gaussian, mean, and principal curvatures and important geometric characterizations. We also provide these characterizations for tubular hypersurfaces. Finally, we construct an example to allow for better understanding and comprehension of the results.