CHARACTERIZATION OF SPACELIKE BIHARMONIC CURVES WITH TIMELIKE BINORMAL ACCORDING TO FLAT METRIC IN LORENTZIAN HEISENBERG GROUP Heis³ - doi: 10.5269/bspm.v30i2.14706

Authors

  • Talat Körpınar
  • Essin Turhan

DOI:

https://doi.org/10.5269/bspm.v30i2.14706

Keywords:

Biharmonic curve, Heisenberg group, Flat metric.

Abstract

In this paper, we study spacelike biharmonic curves with timelike binormal according to flat metric in the Lorentzian Heisenberg group Heis³. We characterize spacelike biharmonic curves with timelike binormal in terms of their curvature and torsion. Additionally, we determine the parametric representation of the spacelike biharmonic curves with timelike binormal according to flat metric from this characterization.

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Published

2011-09-21

Issue

Section

Research Articles