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Belarbi, Mansour
- Biharmonic Curves in Three-Dimensional Generalized Symmetric Spaces
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Authors
Affiliations
1 Department of Mathematics, University of Mascara, DZ
2 Department of Mathematics,University of Bechar, DZ
3 Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganemt, DZ
1 Department of Mathematics, University of Mascara, DZ
2 Department of Mathematics,University of Bechar, DZ
3 Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganemt, DZ
Source
The Journal of the Indian Mathematical Society, Vol 89, No 3-4 (2022), Pagination: 263-277Abstract
In this paper, we study biharmonic curves in three-dimensio -nal generalized symmetric spaces, equipped with a left-invariant pseudo- Riemannian metric. We characterize non-geodesic biharmonic curves in three-dimensional generalized symmetric spaces and prove that there ex- ists no non-geodesic biharmonic spacelike helix in three-dimensional gen- eralized symmetric spaces. We also show that a linear map from a Eu- clidean space in three-dimensional generalized symmetric spaces is bihar- monic if and only if it is a harmonic map, and give a complete classification of such maps.
Keywords
Generalized Symmetric Spaces, Left-Invariant Metrics, Harmonic Curves, Biharmonic Curves, Pseudo-Riemannian Metrics.
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