Dergiler / Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2013 / Cilt: 17 - Sayı: 1
Sabit olmayan ortalama eğrilikli timelike Bonnet yüzeyler
- Sayfa
- 113–118
- DOI
- —
Özet
In this study, the criterion of a timelike surface being Bonnet surface in 3-dimensional Minkowski space given by [11] is taken into consideration and by a similar manner of the classification of surfaces in Euclidean space done by I. M. Roussos in [6], timelike surfaces as Bonnet surfaces are investigated in three class as C1, C2 and C3. Timelike surfaces given in the case of C1 have constant mean curvature and were investigated by a detailed way in [11]. In the present study, by investigating the cases of C2 and C3, a criterion of the timelike surfaces with non-constant mean curvature being Bonnet surfaces is determined.
Abstract
In this study, the criterion of a timelike surface being Bonnet surface in 3-dimensional Minkowski space given by [11] is taken into consideration and by a similar manner of the classification of surfaces in Euclidean space done by I. M. Roussos in [6], timelike surfaces as Bonnet surfaces are investigated in three class as C , C and C . Timelike surfaces given in the case of C have constant mean curvature and were investigated by a detailed way in [11]. In the present study, by investigating the cases of C and C , a criterion of the timelike surfaces with non-constant mean curvature being Bonnet surfaces is determined.