Triharmonic Curves in Heisenberg Group

DOI10.1080/1726037X.2022.2063407OpenAlexW4282975252MaRDI QIDQ5041678

Bendehiba Senoussi

Publication date: 14 October 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2022.2063407

zbMATH Keywords

Heisenberg groupbiharmonic curvestriharmonic curves

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Local submanifolds (53B25)

Related Items

On the normal stability of triharmonic hypersurfaces in space forms

Cites Work

• Classification des métriques invariantes à gauche sur le groupe de Heisenberg. (Classification of left invariant metrics on the Heisenberg group)
• The second variational formula of the \(k\)-energy and \(k\)-harmonic curves
• Biharmonic curves in the generalized Heisenberg group
• General helices and a theorem of Lancret
• $k$-harmonic maps into a Riemannian manifold with constant sectional curvature
• General helices in the three-dimensional Lorentzian space forms
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