Complete minimal submanifolds of the non-compact Riemannian symmetric spaces SL_n(R)/SO(n), Sp(n,R)/U(n), SO*(2n)/U(n), SU*(2n)/Sp(n) via complex-valued eigenfunctions

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Hauptverfasser: Gudmundsson, Sigmundur, Larsen, Lucas
Format: Preprint
Veröffentlicht: 2026
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author Gudmundsson, Sigmundur
Larsen, Lucas
author_facet Gudmundsson, Sigmundur
Larsen, Lucas
contents In this work we construct new multidimensional families of complete minimal submanifolds, of the classical non-compact Riemannian symmetric spaces SL_n(R)/SO(n), Sp(n,R)/U(n), SO*(2n)/U(n) and SU*(2n)/Sp(n), of codimension two.
format Preprint
id arxiv_https___arxiv_org_abs_2604_07157
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Complete minimal submanifolds of the non-compact Riemannian symmetric spaces SL_n(R)/SO(n), Sp(n,R)/U(n), SO*(2n)/U(n), SU*(2n)/Sp(n) via complex-valued eigenfunctions
Gudmundsson, Sigmundur
Larsen, Lucas
Differential Geometry
53C35, 53C43, 58E20
In this work we construct new multidimensional families of complete minimal submanifolds, of the classical non-compact Riemannian symmetric spaces SL_n(R)/SO(n), Sp(n,R)/U(n), SO*(2n)/U(n) and SU*(2n)/Sp(n), of codimension two.
title Complete minimal submanifolds of the non-compact Riemannian symmetric spaces SL_n(R)/SO(n), Sp(n,R)/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/2604.07157