Some characterizations of Mannheim partner curves in the Minkowski 3-space <i>E</i>₁<SUP>3</SUP>

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Kahraman T., Önder M., Kazaz M., Uğurlu H. H.

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
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Manisa Celal Bayar 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).