Some characterizations of Mannheim partner curves in the minkowski 3-space E 3 1 Mannheimi partnerkõverate iseloomustus Minkowski 3-ruumis E 3 1

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KAHRAMAN T., Önder M., KAZAZ M., SAYAN H. H.

Proceedings of the Estonian Academy of Sciences, cilt.60, sa.4, ss.210-220, 2011 (SCI-Expanded) identifier identifier

  • 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
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we give some characterizations of Mannheim partner curves in the Minkowski 3-space E 3 1. Firstly, we classify these curves in E 3 1. 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 3 1. 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 3 1.