scientific article; zbMATH DE number 7587171

zbMath1501.53016MaRDI QIDQ5106183

Bendehiba Senoussi

Publication date: 16 September 2022

Full work available at URL: https://pjm.ppu.edu/sites/default/files/papers/PJM_May_2022_264_to_273.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

biharmonic curvestriharmonic curvesbi-\(f\)-harmonic curves\(\mathrm{Sol}_3\) space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometric aspects of harmonic maps (53C43) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

Related Items (1)

On the normal stability of triharmonic hypersurfaces in space forms

Cites Work

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• Minimal translation surfaces in Sol\(_{3}\)
• Triharmonic curves in 3-dimensional homogeneous spaces
• Normal curves on a smooth immersed surface
• The horizon of SOL
• The second variational formula of the \(k\)-energy and \(k\)-harmonic curves
• Rectifying and osculating curves on a smooth surface
• A structure theorem for polyharmonic maps between Riemannian manifolds
• Rectifying curves on a smooth surface immersed in the Euclidean space
• Linear biharmonic maps into Sol, Nil and Heisenberg spaces
• BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
• $k$-harmonic maps into a Riemannian manifold with constant sectional curvature
• Bi-f-harmonic curves and hypersurfaces

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