Legendre curves on Lorentzian Heisenberg space

Authors

  • L. Belarbi University of Mostaganem (U.M.A.B.), Algeria
  • M. Belarbi Mascara University, Algeria
  • H. El Hendi University of Bechar, Algeria

DOI:

https://doi.org/10.31926/but.mif.2020.12.61.1.4

Keywords:

Legendre curves, Lorentzian Heisenberg space, Biharmonic curves, locally ϕ -symmetric

Abstract

In this paper, we show that the Legendre curves on three-dimensional Lorentzian Heisenberg space (H3; g) are locally ϕ- symmetric if and only if they are geodesic. Moreover, we prove that the Legendre curves on three-dimensional Lorentzian Heisenberg space are biharmonic if and only if they are pseudo-helix.

Author Biographies

L. Belarbi, University of Mostaganem (U.M.A.B.), Algeria

Department of Mathematics, Laboratory of Pure and Applied Mathematics, B.P.227, 27000, Mostaganem

M. Belarbi, Mascara University, Algeria

Department of Mathematics

H. El Hendi, University of Bechar, Algeria

Department of Mathematics, PO Box 417, 08000, Bechar

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Published

2020-07-22

Issue

Vol. 13(62) No. 1 (2020)

Section

MATHEMATICS