{"title":"Extrinsic symmetric subspaces","authors":"J. Eschenburg, M. Tanaka","doi":"10.18910/76678","DOIUrl":null,"url":null,"abstract":"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 ′.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18910/76678","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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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