Biharmonic Curves in a Strict Walker 3-Manifold

Mamadou Gningue, Ameth Ndiaye, Rénovat Nkunzimana and Ildefonso Castro

International Journal of Mathematics and Mathematical Sciences, 2022, vol. 2022, 1-6

Abstract: In this paper, we study the geometry of biharmonic curves in a strict Walker 3-manifold and we obtain explicit parametric equations for biharmonic curves and time-like biharmonic curves, respectively. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold. We give an example of biharmonic curve for illustrating the main result.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:3855033

DOI: 10.1155/2022/3855033

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