Conformal and semi-conformal biharmonic maps
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Publication:960014
DOI10.1007/s10455-008-9118-8zbMath1158.53049OpenAlexW2026707893MaRDI QIDQ960014
Seddik Ouakkas, Paul Baird, Ali Fardoun
Publication date: 16 December 2008
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10455-008-9118-8
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43)
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Cites Work
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- Unnamed Item
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- Unnamed Item
- Biharmonic maps, conformal deformations and the Hopf maps
- On constructing biharmonic maps and metrics
- Familles de surfaces isoparametriques dans les espaces à courbure constante
- Hypersurfaces in E4 with Harmonic Mean Curvature Vector Field
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