Some characterizations of Mannheim partner curves in the Minkowski 3-space E-1(3)


KAHRAMAN T., Onder M., KAZAZ M., UĞURLU H. H.

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, cilt.60, sa.4, ss.210-220, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Konu: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3176/proc.2011.4.02
  • Dergi Adı: PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
  • Sayfa Sayıları: ss.210-220

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).