A nonexistence theorem for proper biharmonic maps into general Riemannian manifolds

DOI10.1016/j.geomphys.2019.103557zbMath1434.53067arXiv1806.11441OpenAlexW2990610145WikidataQ115352783 ScholiaQ115352783MaRDI QIDQ2302536

Volker Branding, Yong Luo

Publication date: 26 February 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.11441

zbMATH Keywords

Liouville theorembiharmonic mapgeneral Riemannian manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (8)

On the normal stability of triharmonic hypersurfaces in space forms ⋮ On harmonic and biharmonic maps from gradient Ricci solitons ⋮ Some analytic results on interpolating sesqui-harmonic maps ⋮ A structure theorem for polyharmonic maps between Riemannian manifolds ⋮ The stress-energy tensor for polyharmonic maps ⋮ On finite energy solutions of 4-harmonic and ES-4-harmonic maps ⋮ On interpolating sesqui-harmonic maps between Riemannian manifolds ⋮ \(F\)-biharmonic maps into general Riemannian manifolds

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• A special Stoke's theorem for complete Riemannian manifolds
• Some Rigidity Phenomena for Einstein Metrics
• Liouville-type theorems for biharmonic maps between Riemannian manifolds
• A remark on p-harmonic maps
• Harmonic Mappings of Riemannian Manifolds

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