Canal Hypersurfaces Generated by Pseudo-Null Curves with Bishop Frame in Lorentz–Minkowski 4-Space
SYMMETRY, cilt.18, sa.6, ss.935-953, 2026 (SCI-Expanded)
- 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)
- Sayfa Sayıları: ss.935-953
- İnönü 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.