Triharmonic curves in 3-dimensional homogeneous spaces

DOI10.1007/s00009-021-01837-yzbMath1479.58016arXiv2008.10571OpenAlexW3198048838MaRDI QIDQ821502

Álvaro Pámpano, Stefano Montaldo

Publication date: 20 September 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10571

zbMATH Keywords

geodesicsspace formsFrenet helicesBCV spacestriharmonic curves

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (3)

On the normal stability of triharmonic hypersurfaces in space forms ⋮ On polyharmonic helices in space forms ⋮ Unnamed Item

Cites Work

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• Elasticae in Killing submersions
• The Euler-Lagrange method for biharmonic curves
• The second variational formula of the \(k\)-energy and \(k\)-harmonic curves
• Higher order energy functionals
• Extremal curves of the total curvature in homogeneous 3-spaces
• Énergie et déformations en géométrie différentielle
• General helices and a theorem of Lancret
• $k$-harmonic maps into a Riemannian manifold with constant sectional curvature
• Harmonic Mappings of Riemannian Manifolds

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