{"title":"Real Bott流形的微分同胚分类","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":"{\"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}","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}
The Classification of Diffeomorphism Classes of Real Bott Manifolds
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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