Biharmonic functions on the classical compact simple Lie groups

S Gudmundsson, S Montaldo, A Ratto - The Journal of Geometric Analysis, 2018 - Springer
The main aim of this work is to construct several new families of proper biharmonic functions
defined on open subsets of the classical compact simple Lie groups SU (n) SU (n), SO (n) …

Minimal Submanifolds of the Classical Compact Riemannian Symmetric Spaces

JM Gegenfurtner - arXiv preprint arXiv:2406.11294, 2024 - arxiv.org
Minimal submanifolds constitute a central area within the realm of differential geometry, due
to their many applications in various branches of physics. In this thesis we will employ a …

Harmonic morphisms from the classical compact semisimple Lie groups

S Gudmundsson, A Sakovich - Annals of Global Analysis and Geometry, 2008 - Springer
In this article, we introduce a new method for manufacturing harmonic morphisms from semi-
Riemannian manifolds. This is employed to yield a variety of new examples from the …

Explicit Proper p-Harmonic Functions on the Riemannian Symmetric Spaces , , ,

S Gudmundsson, A Siffert, M Sobak - The Journal of Geometric Analysis, 2022 - Springer
In this work we construct explicit complex-valued p-harmonic functions on the compact
Riemannian symmetric spaces SU (n)/SO (n), Sp (n)/U (n), SO (2 n)/U (n), SU (2 n)/Sp (n) …

Harmonic Morphisms and p-Harmonic Functions on the Classical Compact Symmetric Spaces via the Cartan Embedding

A Lindström - arXiv preprint arXiv:2402.15532, 2024 - arxiv.org
Given a symmetric triple $(G, K,\sigma) $ of compact type, with $ G^{\sigma}= K $, the well
known Cartan embedding $\hat {\Phi}: G/K\to G $ homothetically embeds the symmetric …

Explicit p-harmonic functions on the real Grassmannians

E Ghandour, S Gudmundsson - Advances in Geometry, 2023 - degruyter.com
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[HTML][HTML] Biharmonic functions on spheres and hyperbolic spaces

S Gudmundsson - Journal of Geometry and Physics, 2018 - Elsevier
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Explicit harmonic morphisms and p-harmonic functions from the complex and quaternionic Grassmannians

E Ghandour, S Gudmundsson - Annals of Global Analysis and Geometry, 2023 - Springer
We construct explicit complex-valued p-harmonic functions and harmonic morphisms on the
classical compact symmetric complex and quaternionic Grassmannians. The ingredients for …

[HTML][HTML] Biharmonic functions on the special unitary group SU (2)

S Gudmundsson - Differential Geometry and its Applications, 2017 - Elsevier
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[HTML][HTML] On the existence of harmonic morphisms from certain symmetric spaces

S Gudmundsson, M Svensson - Journal of Geometry and Physics, 2007 - Elsevier
In this paper we give a positive answer to the open existence problem for complex-valued
harmonic morphisms from the non-compact irreducible Riemannian symmetric spaces SLn …