二阶非紧对称空间中齐次超曲面的分类

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2023-06-07 DOI:10.1007/s10231-023-01345-8

Ivan Solonenko

引用次数: 2

摘要

我们将黎曼对称空间\（\textrm｛SL｝（3，\mathbb｛H｝）/\textrm｛Sp｝，\，n\geqslant 1\）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two

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Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two

We classify, up to isometric congruence, the homogeneous hypersurfaces in the Riemannian symmetric spaces \(\textrm{SL}(3,\mathbb {H})/\textrm{Sp}(3), \textrm{SO}(5,\mathbb {C})/\textrm{SO}(5),\) and \(\textrm{Gr}^*(2,\mathbb {C}^{n+4}) = \textrm{SU}(n+2,2)/\textrm{S}(\textrm{U}(n+2)\textrm{U}(2)), \, n \geqslant 1\).

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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