Biharmonic and harmonic homomorphisms between Riemannian three dimensional unimodular Lie groups

DOI10.1016/j.geomphys.2021.104178zbMath1464.53068arXiv2010.02611OpenAlexW3134997284WikidataQ115352714 ScholiaQ115352714MaRDI QIDQ2019535

Sihem Boubekeur, Mohamed Boucetta

Publication date: 21 April 2021

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

Full work available at URL: https://arxiv.org/abs/2010.02611

zbMATH Keywords

Riemannian Lie groupsbiharmonic homomorphismsharmonic homomorphisms

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometric aspects of harmonic maps (53C43) General properties and structure of real Lie groups (22E15)

Related Items

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Cites Work

• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Harmonic inner automorphisms of compact connected semisimple Lie groups
• Classification theory of Riemannian manifolds. Harmonic, quasiharmonic and biharmonic functions
• Harmonic maps into Lie groups and homogeneous spaces
• Harmonic and biharmonic homomorphisms between Riemannian Lie groups
• Left invariant metrics and curvatures on simply connected three-dimensional Lie groups
• Automorphisms of real four-dimensional Lie algebras and the invariant characterization of homogeneous 4-spaces
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