Distance-Normal Congruence of Rotational Surfaces in Euclidean 3-Space
JOURNAL OF MATHEMATICS, cilt.2025, sa.1, 2025 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2025 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.1155/jom/4572689
- Dergi Adı: JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this study, we considered simple linear congruences of some curves/surfaces to generate parametric families of curves/surfaces. The method depends essentially on the position vector of a curve/surface and its signed unit normal. The shape of the normal congruence of the curve/surface can be predictably changed based on the sign of its unit normal. On the other hand, symmetry of surfaces refers to invariance under transformations such as reflections, rotations, or translations, which can also involve normal congruence. Considering the normal congruences of the surface of revolution to be minimal, some results on the meridian curves are obtained. Furthermore, some surface models are constructed over the meridian curves.