ON THE S^1-FIBRED NILBOTT TOWER

Nakayama, Mayumi

doi:https://doi.org/10.18910/29187

ON THE S^1-FIBRED NILBOTT TOWER

Nakayama, Mayumi

Osaka Journal of Mathematics, 2014, 51(1), 67-87

アクセス数:133件（2025-07-11 12:45 集計）

固定URL: https://doi.org/10.18910/29187

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タイトル	ON THE S^1-FIBRED NILBOTT TOWER
著者	著者名 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.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	51(1)
ページ	67-87
刊行年月	2014-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/29187
DOI	https://doi.org/10.18910/29187
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
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）

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. 2014, 51(1), p. 67-87
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
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2014-01
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	10.18910/29187
DC.format	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_public_url	https://hdl.handle.net/11094/29187
citation_doi_detail	10.18910/29187
citation_doi	https://doi.org/10.18910/29187

ON THE S^1-FIBRED NILBOTT TOWER

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