III-harmonic curves in \(\widetilde{\mathbf{SL}_2\mathbb{R}}\) space

DOI10.2478/AWUTM-2024-0010MaRDI QIDQ6669320

Bendehiba Senoussi

Publication date: 22 January 2025

Published in: Annals of West University of Timisoara - Mathematics and Computer Science (Search for Journal in Brave)

zbMATH Keywords

general helixbiharmonic curves\(\widetilde{\mathbf{SL}_2\mathbb{R}}\) spaceIII-harmonic curves

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Harmonic maps, etc. (58E20) Local submanifolds (53B25) Other special differential geometries (53A40)

Cites Work

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• Packings by translation balls in \({\widetilde{{\mathrm {SL}}_2(\mathbb{R})}}\)
• Triharmonic curves in 3-dimensional homogeneous spaces
• Curves with constant curvature ratios
• The projective interpretation of the eight 3-dimensional homogeneous geometries
• New examples of \(r\)-harmonic immersions into the sphere
• The second variational formula of the \(k\)-energy and \(k\)-harmonic curves
• Some characterization of curves in \(\widetilde{\mathbf{SL}_2\mathbb{R}}\) space
• Biharmonic curves in the generalized Heisenberg group
• Minimal surfaces in SL(2,R) geometry
• General helices and a theorem of Lancret
• Triharmonic Curves in Heisenberg Group
• $k$-harmonic maps into a Riemannian manifold with constant sectional curvature
• General helices in the three-dimensional Lorentzian space forms
• Polyharmonic surfaces in $3$-dimensional homogeneous spaces

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