Compact minimal submanifolds of the Riemannian symmetric spaces \({{\textbf {S}}U}(n)/\textbf{SO}(n)\), \({{\textbf {S}}p}(n)/{{\textbf {U}}}(n)\), \(\textbf{SO}(2n)/{{\textbf {U}}}(n)\), \({{\textbf {S}}U}(2n)/{{\textbf {S}}p}(n)\) via complex-valued eigenfunctions

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2024-09-27 DOI:10.1007/s10455-024-09974-9

Johanna Marie Gegenfurtner, Sigmundur Gudmundsson

引用次数: 0

Abstract

In this work we construct new multi-dimensional families of compact minimal submanifolds of the classical Riemannian symmetric spaces \({{\textbf {S}}U}(n)/\textbf{SO}(n)\), \({{\textbf {S}}p}(n)/{{\textbf {U}}}(n)\), \(\textbf{SO}(2n)/{{\textbf {U}}}(n)\) and \({{\textbf {S}}U}(2n)/{{\textbf {S}}p}(n)\) of codimension two.

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Riemannian 对称空间的紧凑最小子漫游空间（{\textbf {S}U}(n)/\textbf{SO}(n)\), （{\textbf {S}p}(n)/{\textbf {U}}(n)\)、\通过复值特征函数，\(\textbf{SO}(2n)/{{textbf {U}}(n)\), \({{textbf {S}}U}(2n)/{{textbf {S}}p}(n)\)

在这项工作中，我们构建了经典黎曼对称空间 \({{\textbf {S}}U}(n)/\textbf{SO}}(n)\) 的新的多维紧凑极小子满域族、\({{textbf {S}}p}(n)/{{textbf {U}}(n)\), \(\textbf{SO}(2n)/{{textbf {U}}(n)\) and\({{textbf {S}}U}(2n)/{{\textbf {S}}p}(n)\) of codimension two.

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.