ON THE S^1-FIBRED NILBOTT TOWER

Nakayama, Mayumi

doi:info:doi/10.18910/29187

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タイトル	ON THE S^1-FIBRED NILBOTT TOWER
著者	Nakayama, Mayumi Nakayama, Mayumi
抄録	We shall introduce a notion of S^1-fibred nilBott tower. It is an iterated S^1-bundle whose top space is called an S^1-fibred nilBott manifold and the S^1-bundle of each stage realizes a Seifert construction. The S^1-fibred nilBott tower is a generalization of real Bott tower from the viewpoint of fibration. In this note we shall prove that any S^1-fibred nilBott manifold is diffeomorphic to an infranilmanifold. According to the group extension of each stage, there are two classes of S^1-fibred nilBott manifolds which is defined as finite type or infinite type. We discuss their properties.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	51
号	1
開始ページ	67
終了ページ	87
刊行年月	2014-01
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/29187
言語	英語
DOI	info:doi/10.18910/29187
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 51, Number 1　(2014-1）

著者版フラグ	publisher
NII資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics.51(1) P.67-P.87
DC.title	ON THE S^1-FIBRED NILBOTT TOWER
DC.creator	Nakayama, Mayumi
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2014-01
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/29187
DCTERMS.abstract	We shall introduce a notion of S^1-fibred nilBott tower. It is an iterated S^1-bundle whose top space is called an S^1-fibred nilBott manifold and the S^1-bundle of each stage realizes a Seifert construction. The S^1-fibred nilBott tower is a generalization of real Bott tower from the viewpoint of fibration. In this note we shall prove that any S^1-fibred nilBott manifold is diffeomorphic to an infranilmanifold. According to the group extension of each stage, there are two classes of S^1-fibred nilBott manifolds which is defined as finite type or infinite type. We discuss their properties.
DC.identifier	info:doi/10.18910/29187
citation_title	ON THE S^1-FIBRED NILBOTT TOWER
citation_author	Nakayama, Mayumi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2014-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	51
citation_issue	1
citation_firstpage	67
citation_lastpage	87
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/29187
citation_doi	info:doi/10.18910/29187

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