Harmonic morphisms from the classical compact semisimple Lie groups
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Publication:927170
DOI10.1007/s10455-007-9090-8zbMath1176.58011arXivmath/0611574OpenAlexW2595032301WikidataQ115384680 ScholiaQ115384680MaRDI QIDQ927170
Sigmundur Gudmundsson, Anna Sakovich
Publication date: 4 June 2008
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611574
Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Foliations (differential geometric aspects) (53C12)
Related Items (9)
Complete minimal submanifolds of compact Lie groups ⋮ Biharmonic functions on the classical compact simple Lie groups ⋮ Biharmonic functions on the special unitary group SU(2) ⋮ New biharmonic functions on the compact Lie groups \(\mathbf{SO}(n)\), \(\mathbf{SU}(n)\), \(\mathbf{Sp}(n)\) ⋮ Explicit harmonic morphisms and \(p\)-harmonic functions from the complex and quaternionic Grassmannians ⋮ Explicit \(p\)-harmonic functions on the real Grassmannians ⋮ Harmonic morphisms from the classical non-compact semisimple Lie groups ⋮ Proper \(r\)-harmonic functions from Riemannian manifolds ⋮ Explicit proper \(p\)-harmonic functions on the Riemannian symmetric spaces \(\mathbf{SU} (n)/\mathbf{SO} (n)\), \(\mathbf{Sp} (n)/\mathbf{U} (n)\), \(\mathbf{SO} (2n)/\mathbf{U} (n)\), \(\mathbf{SU} (2n)/\mathbf{Sp} (n)\)
Cites Work
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- A mapping of Riemannian manifolds which preserves harmonic functions
- Harmonic morphisms between Riemannian manifolds
- On the existence of harmonic morphisms from symmetric spaces of rank one
- Harmonic morphisms from the Grassmannians and their non-compact duals
- On the geometry of harmonic morphisms
- Harmonic Morphisms, Seifert Fibre Spaces and Conformal Foliations
- Lie groups beyond an introduction
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