Biharmonic maps from biconformal transformations with respect to isoparametric functions

DOI10.1016/J.DIFGEO.2016.12.001zbMath1358.53061OpenAlexW2560748449WikidataQ115355578 ScholiaQ115355578MaRDI QIDQ730469

Seddik Ouakkas, Ali Fardoun, Paul Baird

Publication date: 28 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2016.12.001

zbMATH Keywords

Hopf mapbiconformal deformationbiharmonic functionstriconformal deformations

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Differential geometric aspects of harmonic maps (53C43) Local Riemannian geometry (53B20)

Related Items (5)

The energy density of biharmonic quadratic maps between spheres ⋮ Biharmonic conformal maps in dimension four and equations of Yamabe-type ⋮ \(r\)-harmonic and complex isoparametric functions on the Lie groups \(\mathbb{R}^m\ltimes\mathbb{R}^n\) and \(\mathbb{R}^m\times\text{H}^{2n+1}\) ⋮ Explicit \(p\)-harmonic functions on rank-one Lie groups of Iwasawa type ⋮ Proper \(r\)-harmonic functions from Riemannian manifolds

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• Cubic Splines on Curved Spaces
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
• Harmonic Mappings of Riemannian Manifolds

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