Position vector of spacelike biharmonic curves in the Lorentzian Heisenberg group Heis 3
In this paper, we study spacelike biharmonic curves in the Lorentzian Heisenberg group Heis 3 . We show that spacelike biharmonic curves are general helices. We characterize position vector of spacelike biharmonic general helices in terms of their curvature and torsion.
Completeness of Lorentz Metric on 3-Dimensional Heisenberg Group
We consider three-dimensional Heisenberg group which is given with possible three situations for Lorentz metrics and obtain completeness of Lorentz metrics on 3-dimensional Heisenberg group. Mathematics Subject Classifications: 53C50, 22E99
Biharmonic anti-invariant submanifolds in Sasakian space forms.
We obtain some classification results and the stability condi- tions of nonminimal biharmonic anti-invariant submanifolds in Sasakian space forms.