Antipodal sets of pseudo-Riemannian symmetric R-spaces

IF 0.6 4区数学 Q3 MATHEMATICS Differential Geometry and its Applications Pub Date : 2024-01-08 DOI:10.1016/j.difgeo.2023.102104

Kyoji Sugimoto

引用次数: 0

Abstract

We show that antipodal sets of pseudo-Riemannian symmetric R-spaces associated with non-degenerate Jordan triple systems satisfy the following two properties: (1) Any antipodal set is included in a great antipodal set, and (2) any two great antipodal sets are transformed into each other by an isometry.

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伪黎曼对称 R 空间的对偶集

我们证明，与非退化约旦三重系统相关联的伪黎曼对称 R 空间的反交点集合满足以下两个性质：（1）任何反交点集合都包含在一个大反交点集合中；（2）任何两个大反交点集合都通过等距法相互转化。

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

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.

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