Biharmonic functions on spheres and hyperbolic spaces

DOI10.1016/J.GEOMPHYS.2018.07.016zbMath1404.31016arXiv1801.01457OpenAlexW2781615352WikidataQ129412239 ScholiaQ129412239MaRDI QIDQ1629716

Sigmundur Gudmundsson

Publication date: 12 December 2018

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

Full work available at URL: https://arxiv.org/abs/1801.01457

zbMATH Keywords

hyperbolic spacesspheresbiharmonic functions

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (4)

Proper \(r\)-harmonic functions on the Thurston geometries ⋮ \(r\)-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

Cites Work

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• Biharmonic functions on the classical compact simple Lie groups
• Minimal submanifolds of hyperbolic spaces via harmonic morphisms
• Biharmonic functions on the special unitary group SU(2)
• Harmonic morphisms from the Grassmannians and their non-compact duals
• On the geometry of harmonic morphisms

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