Generalized harmonic morphisms and horizontally weakly conformal biharmonic maps

DOI10.1016/j.jmaa.2018.04.044zbMath1391.53074arXiv1712.03593OpenAlexW2962759662MaRDI QIDQ1748346

Ye-Lin Ou, Elsa Ghandour

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03593

zbMATH Keywords

harmonic morphismsbiharmonic mapshorizontally weakly conformal mapsbiharmonic morphismsgeneralized harmonic morphisms

Mathematics Subject Classification ID

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

Related Items

Biharmonic Riemannian submersions from a 3-dimensional BCV space ⋮ Proper biharmonic maps and \((2,1)\)-harmonic morphisms from some wild geometries ⋮ Biharmonic Riemannian submersions ⋮ Complex-valued \((p, q)\)-harmonic morphisms from Riemannian manifolds ⋮ Some recent work on biharmonic conformal maps

Cites Work

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• Some constructions of biharmonic maps and Chen's conjecture on biharmonic hypersurfaces
• Biharmonic Riemannian submersions from 3-manifolds
• Conformal and semi-conformal biharmonic maps
• Biharmonic maps and morphisms from conformal mappings
• A mapping of Riemannian manifolds which preserves harmonic functions
• Harmonic morphisms between Riemannian manifolds
• On f-harmonic morphisms between Riemannian manifolds
• Biharmonic classification of Riemannian manifolds

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