Some characterizations of Mannheim partner curves in the Minkowski 3-space E-1(3)
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, cilt.60, sa.4, ss.210-220, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 60 Sayı: 4
- Basım Tarihi: 2011
- Doi Numarası: 10.3176/proc.2011.4.02
- Dergi Adı: PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.210-220
- Anahtar Kelimeler: Minkowski 3-space, timelike curve, spacelike curve, Mannheim partner curves
- Gazi Üniversitesi Adresli: Evet
Özet
In this paper, we give some characterizations of Mannheim partner curves in the Minkowski 3-space E-1(3). Firstly, we classify these curves in E-1(3). Next, we give some relationships characterizing these curves and we show that the Mannheim theorem is not valid for the Mannheim partner curves in E-1(3). Moreover, by considering the spherical indicatrix of the Frenet vectors of those curves, we obtain some new relationships between the curvatures and torsions of the Mannheim partner curves in E-1(3).