The second variational formula of the \(k\)-energy and \(k\)-harmonic curves

zbMath1273.58008arXiv1008.3700MaRDI QIDQ1951961

Shun Maeta

Publication date: 24 May 2013

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

Full work available at URL: https://arxiv.org/abs/1008.3700

zbMATH Keywords

second variationpolyharmonic\(k\)-harmonic curves\(k\)-harmonic maps

Mathematics Subject Classification ID

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

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Cites Work

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• Some constructions of biharmonic maps and Chen's conjecture on biharmonic hypersurfaces
• Biharmonic submanifolds in spheres.
• Biharmonic maps between warped product manifolds
• The stress-energy tensor for biharmonic maps
• 2-harmonic maps and their first and second variational formulas
• Bi-harmonic maps and bi-Yang-Mills fields
• On the biharmonic and harmonic indices of the Hopf map
• The index of biharmonic maps in spheres
• BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
• Riemannian Geometry

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