Harmonic morphisms from the Grassmannians and their non-compact duals

DOI10.1007/S10455-006-9029-5zbMath1103.58007arXivmath/0603288OpenAlexW2065318489MaRDI QIDQ2431740

Martin Svensson, Sigmundur Gudmundsson

Publication date: 24 October 2006

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603288

zbMATH Keywords

symmetric spacesharmonic morphismsminimal submanifolds

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Foliations (differential geometric aspects) (53C12)

Related Items (13)

Biharmonic functions on spheres and hyperbolic spaces ⋮ Harmonic morphisms from solvable Lie groups ⋮ Biharmonic functions on the classical compact simple Lie groups ⋮ On the existence of harmonic morphisms from certain symmetric spaces ⋮ Biharmonic functions on the special unitary group SU(2) ⋮ Explicit harmonic morphisms and \(p\)-harmonic functions from the complex and quaternionic Grassmannians ⋮ Harmonic morphisms from homogeneous Hadamard manifolds ⋮ Explicit \(p\)-harmonic functions on the real Grassmannians ⋮ Harmonic morphisms from the classical compact semisimple Lie groups ⋮ Explicit \(p\)-harmonic functions on rank-one Lie groups of Iwasawa type ⋮ Harmonic morphisms from the compact semisimple Lie groups and their non-compact duals ⋮ Harmonic morphisms from the classical non-compact semisimple Lie groups ⋮ 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
• On the geometry of harmonic morphisms
• Harmonic Morphisms, Seifert Fibre Spaces and Conformal Foliations
• Harmonic morphisms from even-dimensional hyperbolic spaces
• Lie groups beyond an introduction

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