{"title":"The Classification of Diffeomorphism Classes of Real Bott Manifolds","authors":"A. Nazra","doi":"10.12962/j24775401.v7i1.6943","DOIUrl":null,"url":null,"abstract":"A real Bott manifold (RBM) is obtained as the orbit space of the n-torus T^n by a free action of an elementary abelian 2-group ZZ_2^n. This paper deals with the classification of some particular types of RBMs of dimension n, so that we know the number of diffeomorphism classes in such RBMs.","PeriodicalId":357596,"journal":{"name":"International Journal of Computing Science and Applied Mathematics","volume":"198200 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Computing Science and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12962/j24775401.v7i1.6943","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
A real Bott manifold (RBM) is obtained as the orbit space of the n-torus T^n by a free action of an elementary abelian 2-group ZZ_2^n. This paper deals with the classification of some particular types of RBMs of dimension n, so that we know the number of diffeomorphism classes in such RBMs.
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