外在对称子空间

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2020-07-01 DOI:10.18910/76678

J. Eschenburg, M. Tanaka

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引用次数: 0

摘要

外对称空间是一个子流形M⊂V=Rn，它通过沿每个法线空间NxM的反射sx保持不变。一个外对称子空间是某个子空间V′⊂V的交集MåV′的连通分量M′，它对任何x∈M′都是sx不变的。我们给出了所有这样的子空间V′的代数性质。

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Extrinsic symmetric subspaces

An extrinsic symmetric space is a submanifold M ⊂ V = Rn which is kept invariant by the reflection sx along every normal space NxM. An extrinsic symmetric subspace is a connected component M′ of the intersection M ∩ V ′ for some subspace V ′ ⊂ V which is sx-invariant for any x ∈ M′. We give an algebraic charactrization of all such subspaces V ′.

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.