Explicit \(p\)-harmonic functions on the real Grassmannians

DOI10.1515/ADVGEOM-2023-0015zbMath1528.53054arXiv2103.08768OpenAlexW4384525191MaRDI QIDQ6176259

Elsa Ghandour, Sigmundur Gudmundsson

Publication date: 22 August 2023

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08768

zbMATH Keywords

symmetric spaces\(p\)-harmonic functions

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Function spaces arising in harmonic analysis (42B35) Grassmannians, Schubert varieties, flag manifolds (14M15) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Differential geometry of symmetric spaces (53C35)

Related Items (2)

Explicit harmonic morphisms and \(p\)-harmonic functions from the complex and quaternionic Grassmannians ⋮ Minimal Submanifolds via Complex-Valued Eigenfunctions

Cites Work

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• Harmonic morphisms from the classical compact semisimple Lie groups
• Biharmonic functions on the classical compact simple Lie groups
• Explicit proper \(p\)-harmonic functions on the Riemannian symmetric spaces \(\mathbf{SU} (n)/\mathbf{SO} (n)\), \(\mathbf{Sp} (n)/\mathbf{U} (n)\), \(\mathbf{SO} (2n)/\mathbf{U} (n)\), \(\mathbf{SU} (2n)/\mathbf{Sp} (n)\)
• Proper \(r\)-harmonic functions from Riemannian manifolds
• Harmonic morphisms from the Grassmannians and their non-compact duals
• New biharmonic functions on the compact Lie groups \(\mathbf{SO}(n)\), \(\mathbf{SU}(n)\), \(\mathbf{Sp}(n)\)
• Harmonic Function Theory

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