\(r\)-harmonic and complex isoparametric functions on the Lie groups \(\mathbb{R}^m\ltimes\mathbb{R}^n\) and \(\mathbb{R}^m\times\text{H}^{2n+1}\)
From MaRDI portal
Publication:2212344
DOI10.1007/S10455-020-09736-3zbMath1453.31013arXiv2003.10194OpenAlexW3088546739WikidataQ115384542 ScholiaQ115384542MaRDI QIDQ2212344
Sigmundur Gudmundsson, Marko Sobak
Publication date: 20 November 2020
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.10194
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)
Cites Work
- Unnamed Item
- Unnamed Item
- Biharmonic maps from biconformal transformations with respect to isoparametric functions
- Biharmonic functions on spheres and hyperbolic spaces
- A note on biharmonic functions on the Thurston geometries
- Biharmonic functions on the classical compact simple Lie groups
- Proper \(r\)-harmonic functions on the Thurston geometries
- Proper \(r\)-harmonic functions from Riemannian manifolds
- Biharmonic functions on the special unitary group SU(2)
- New biharmonic functions on the compact Lie groups \(\mathbf{SO}(n)\), \(\mathbf{SU}(n)\), \(\mathbf{Sp}(n)\)
- Conformal foliations by circles and complex isoparametric functions on Euclidean 3-space
- Realizations of real low-dimensional Lie algebras
- Classification and Identification of Lie Algebras
This page was built for publication: \(r\)-harmonic and complex isoparametric functions on the Lie groups \(\mathbb{R}^m\ltimes\mathbb{R}^n\) and \(\mathbb{R}^m\times\text{H}^{2n+1}\)