Harmonic Riemannian submersions between Riemannian symmetric spaces of noncompact type

DOI10.1112/blms.13155MaRDI QIDQ6658731

Francis E. Burstall

Publication date: 8 January 2025

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Differential geometry of symmetric spaces (53C35)

Cites Work

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• On the existence of harmonic morphisms from certain symmetric spaces
• Harmonic morphisms from the classical compact semisimple Lie groups
• Explicit \(p\)-harmonic functions on rank-one Lie groups of Iwasawa type
• Explicit proper \(p\)-harmonic functions on the Riemannian symmetric spaces \(\mathbf{SU} (n)/\mathbf{SO} (n)\), \(\mathbf{Sp} (n)/\mathbf{U} (n)\), \(\mathbf{SO} (2n)/\mathbf{U} (n)\), \(\mathbf{SU} (2n)/\mathbf{Sp} (n)\)
• Manifold maps commuting with the Laplacian
• Proper \(r\)-harmonic functions from Riemannian manifolds
• Totally geodesic spheres in compact symmetric spaces
• Harmonic morphisms from solvable Lie groups
• Introduction to Lie Algebras and Representation Theory
• Explicit harmonic morphisms and \(p\)-harmonic functions from the complex and quaternionic Grassmannians
• Explicit \(p\)-harmonic functions on the real Grassmannians

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