Biharmonic maps, conformal deformations and the Hopf maps

DOI10.1016/j.difgeo.2008.04.006zbMath1159.58009OpenAlexW2021800792WikidataQ115357549 ScholiaQ115357549MaRDI QIDQ953916

Seddik Ouakkas

Publication date: 6 November 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.04.006

zbMATH Keywords

harmonic mapsbiharmonic mapshorizontally weakly conformal maps

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Related Items (17)

Conformal maps, biharmonic maps, and the warped product ⋮ Biharmonic maps from tori into a 2-sphere ⋮ Conformal deformation, biharmonic and triharmonic maps ⋮ Biharmonic maps from a 2-sphere ⋮ Some results and examples of the biharmonic maps with potential ⋮ Some constructions of biharmonic maps and Chen's conjecture on biharmonic hypersurfaces ⋮ Biharmonic maps in two dimensions ⋮ Some constructions of biharmonic maps on the warped product manifolds ⋮ Unnamed Item ⋮ Biharmonic conformal maps in dimension four and equations of Yamabe-type ⋮ Biharmonic holomorphic maps and conformally Kähler geometry ⋮ Harmonic and Biharmonic Maps at Iaşi ⋮ Deformations of metrics and biharmonic maps ⋮ Some results of the \(f\)-biharmonic maps and applications ⋮ Conformal and semi-conformal biharmonic maps ⋮ Biharmonic maps from biconformal transformations with respect to isoparametric functions ⋮ Unnamed Item

Cites Work

• On constructing biharmonic maps and metrics
• \(p\)-harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps
• Another Report on Harmonic Maps
• A Report on Harmonic Maps
• BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
• New examples of biharmonic maps in spheres
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