Codimension two polar homogeneous foliations on symmetric spaces of noncompact type

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-04-23 DOI:10.1016/j.aim.2025.110295

José Carlos Díaz-Ramos, Juan Manuel Lorenzo-Naveiro

引用次数: 0

Abstract

We classify homogeneous polar foliations of codimension two on irreducible symmetric spaces of noncompact type up to orbit equivalence. Any such foliation is either hyperpolar or the canonical extension of a polar homogeneous foliation on a rank one symmetric space.

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非紧型对称空间上的余维二极齐次叶

在不可约的非紧型对称空间上，我们对直至轨道等价的余维二齐次极叶进行了分类。任何这样的叶理要么是超极的，要么是秩一对称空间上的极性齐次叶理的正则扩展。

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

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.