Conformal deformation, biharmonic and triharmonic maps

DOI10.1134/S1995080222050079zbMath1495.58005OpenAlexW4280492503MaRDI QIDQ2140932

Khaldia Madani, Abdelmalek Benaissa, Seddik Ouakkas

Publication date: 23 May 2022

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

Full work available at URL: https://doi.org/10.1134/s1995080222050079

zbMATH Keywords

biharmonic mapconformal deformationtriharmonic map

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

• Conformal maps, biharmonic maps, and the warped product
• Biharmonic maps, conformal deformations and the Hopf maps
• On constructing biharmonic maps and metrics
• The second variational formula of the \(k\)-energy and \(k\)-harmonic curves
• \(p\)-harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps
• Polyharmonic maps into the Euclidean space
• New examples of biharmonic maps in spheres
• $k$-harmonic maps into a Riemannian manifold with constant sectional curvature
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