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Biharmonic Curves in a Strict Walker 3-Manifold

Author

Listed:
  • Mamadou Gningue
  • Ameth Ndiaye
  • Rénovat Nkunzimana
  • Ildefonso Castro

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.

Suggested Citation

  • Mamadou Gningue & Ameth Ndiaye & Rénovat Nkunzimana & Ildefonso Castro, 2022. "Biharmonic Curves in a Strict Walker 3-Manifold," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2022, pages 1-6, February.
  • Handle: RePEc:hin:jijmms:3855033
    DOI: 10.1155/2022/3855033
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