On pseudohyperbolic space motions


Turhan T., YÜKSEL N. , AYYILDIZ N.

TURKISH JOURNAL OF MATHEMATICS, cilt.39, ss.750-762, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.3906/mat-1503-37
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.750-762

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.