On pseudohyperbolic space motions

Turhan T., YÜKSEL N., AYYILDIZ N.

TURKISH JOURNAL OF MATHEMATICS, cilt.39, sa.5, ss.750-762, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.3906/mat-1503-37
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.750-762
  • Erciyes Üniversitesi Adresli: Evet

Özet

In the present paper, the geometrical instantaneous invariants of the motion H-m/H-f in dual Lorentzian 3-space are determined. Depending on this, the dual Lorentzian instantaneous screw axis of the motion of K-m with respect to the dual pseudohyperbolic space K-m is constructed. On the other hand, we show that, in each position of H-m, the fixed and moving axodes have the instantaneous screw axis of this position in common. We also give relations between the geodetic curvature and the curvature of the polodes.