June 17, 2024Open Access

Minimal Submanifolds of the Classical Compact Riemannian Symmetric Spaces

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Resumen

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 recent result of S. Gudmundsson and T.J. Munn to construct minimal submanifolds of the classical compact Riemannian symmetric spaces using eigenfunctions.

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Cite This Study

Johanna Marie Gegenfurtner (Mon,) studied this question.

synapsesocial.com/papers/68e64779b6db6435875d9012 https://doi.org/https://doi.org/10.48550/arxiv.2406.11294

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1Compact minimal submanifolds of the Riemannian symmetric spaces $SU(n)/SO(n)$, $Sp(n)/U(n)$, $SO(2n)/U(n)$, $SU(2n)/Sp(n)$ via complex-valued eigenfunctions2024
2Minimal Submanifolds via Complex-Valued Eigenfunctions2024 · 3 citations
3On the theory of minimal submanifolds and harmonic maps from the point of view of the generalized Bochner technique2025
4Almost symmetric submanifolds2025
5Minimal submanifolds and stability in Einstein manifolds2024

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