IJPAM: Volume 12, No. 4 (2004)
OF THE HEISENBERG GROUP
Department of Mathematics
23119 Elazig, TURKEY
Abstract.T. Ikawa obtained in  the following characteristic ordinary differential equation: for the circular helix which corresponds to the case that the curvatures and of a time-like curve on the Lorentzian manifold are constant.
N. Ekmekçi and H. H. Hacisalihoglu generalized in  T. Ikawa's result, i.e. and are variable, but is constant.
In  H.Balgetir, M.Bektas and M. Ergüt obtained a geometric characterization of Null Frenet curve with constant ratio of curvature and torsion (called null general helix).
In this paper, making use of method in , , , we obtained characterizations of a curve with respect to the Frenet frame of the three-dimensional Heisenberg group
Received: February 20, 2004
AMS Subject Classification: 53B30
Key Words and Phrases: Heisenberg group, helix
Source: International Journal of Pure and Applied Mathematics