Compact 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 eigenfunctions

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Autores principales: Gegenfurtner, Johanna Marie, Gudmundsson, Sigmundur
Formato: Preprint
Publicado: 2024
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author Gegenfurtner, Johanna Marie
Gudmundsson, Sigmundur
author_facet Gegenfurtner, Johanna Marie
Gudmundsson, Sigmundur
contents In this work we construct new multi-dimensional families of compact minimal submanifolds, of the classical Riemannian symmetric spaces $SU(n)/SO(n)$, $Sp(n)/U(n)$, $SO(2n)/U(n)$ and $SU(2n)/Sp(n)$, of codimension two.
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id arxiv_https___arxiv_org_abs_2405_03412
institution arXiv
publishDate 2024
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spellingShingle Compact 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 eigenfunctions
Gegenfurtner, Johanna Marie
Gudmundsson, Sigmundur
Differential Geometry
53C35, 53C43, 58E20
In this work we construct new multi-dimensional families of compact minimal submanifolds, of the classical Riemannian symmetric spaces $SU(n)/SO(n)$, $Sp(n)/U(n)$, $SO(2n)/U(n)$ and $SU(2n)/Sp(n)$, of codimension two.
title Compact 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 eigenfunctions
topic Differential Geometry
53C35, 53C43, 58E20
url https://arxiv.org/abs/2405.03412