RESULTS ON THE TOPOLOGY OF GENERALIZED REAL BOTT MANIFOLDS

Dsouza, Raisa; Uma, V.

doi:https://doi.org/10.18910/73352

RESULTS ON THE TOPOLOGY OF GENERALIZED REAL BOTT MANIFOLDS

Dsouza, Raisa; Uma, V.

Osaka Journal of Mathematics, 2019, 56(3), 441-458

アクセス数:95件（2025-07-12 04:32 集計）

固定URL: https://doi.org/10.18910/73352

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タイトル	RESULTS ON THE TOPOLOGY OF GENERALIZED REAL BOTT MANIFOLDS
著者	著者名 Dsouza, Raisa
著者	著者名 Uma, V.
抄録	Generalized Bott manifolds (over ℂ and ℝ) have been defined by Choi,Masuda and Suh in [4]. In this article we extend the results of [7] on the topology of real Bott manifolds to generalized real Bott manifolds. We give a presentation of the fundamental group, prove that it is solvable and give a characterization for it to be abelian. We further prove that these manifolds are aspherical only in the case of real Bott manifolds and compute the higher homotopy groups. Furthermore, using the presentation of the cohomology ring with ℤ_2-coefficients, we derive a combinatorial characterization for orientablity and spin structure.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	56(3)
ページ	441-458
刊行年月	2019-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73352
DOI	https://doi.org/10.18910/73352
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 56, Number 3 （2019-7）

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. 2019, 56(3), p. 441-458
DC.title	RESULTS ON THE TOPOLOGY OF GENERALIZED REAL BOTT MANIFOLDS
DC.creator	Dsouza, Raisa
DC.creator	Uma, V.
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	2019-07
DCTERMS.abstract	Generalized Bott manifolds (over ℂ and ℝ) have been defined by Choi,Masuda and Suh in [4]. In this article we extend the results of [7] on the topology of real Bott manifolds to generalized real Bott manifolds. We give a presentation of the fundamental group, prove that it is solvable and give a characterization for it to be abelian. We further prove that these manifolds are aspherical only in the case of real Bott manifolds and compute the higher homotopy groups. Furthermore, using the presentation of the cohomology ring with ℤ_2-coefficients, we derive a combinatorial characterization for orientablity and spin structure.
DC.identifier	10.18910/73352
DC.format	73352
citation_title	RESULTS ON THE TOPOLOGY OF GENERALIZED REAL BOTT MANIFOLDS
citation_author	Dsouza, Raisa
citation_author	Uma, V.
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2019-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	56
citation_issue	3
citation_firstpage	441
citation_lastpage	458
citation_public_url	https://hdl.handle.net/11094/73352
citation_doi_detail	10.18910/73352
citation_doi	https://doi.org/10.18910/73352

RESULTS ON THE TOPOLOGY OF GENERALIZED REAL BOTT MANIFOLDS

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