Biharmonic curves on an invariant surface

DOI10.1016/J.GEOMPHYS.2008.11.011zbMath1167.53052OpenAlexW2042458946MaRDI QIDQ1009694

Stefano Montaldo, Irene Ignazia Onnis

Publication date: 3 April 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2008.11.011

zbMATH Keywords

Heisenberg groupGauss curvaturebiharmonic curvesinvariant surfacesgeodesic orbits

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (2)

BIHARMONIC CURVES INTO QUADRICS ⋮ Loxodromes on invariant surfaces in three-manifolds

Cites Work

• Biharmonic submanifolds in spheres.
• The Euler-Lagrange method for biharmonic curves
• Invariant surfaces with constant mean curvature in \(\mathbb H^2 \times \mathbb R\)
• Invariant surfaces of the Heisenberg groups
• Biharmonic curves in 3-dimensional Sasakian space forms
• Invariant surfaces of a three-dimensional manifold with constant Gauss curvature
• BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
• Harmonic Mappings of Riemannian Manifolds
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