NON-EMBEDDABILITY OF CERTAIN CLASSES OF LEVI FLAT MANIFOLDS

Della Sala, Giuseppe

Osaka Journal of Mathematics, 2014, 51(1), 161-169

アクセス数:138件（2025-07-13 20:34 集計）

固定URL: https://doi.org/10.18910/29184

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タイトル	NON-EMBEDDABILITY OF CERTAIN CLASSES OF LEVI FLAT MANIFOLDS
著者	著者名 Della Sala, Giuseppe
抄録	On the basis of a result of Barrett [2], we show that members of certain classes of abstract Levi flat manifolds with boundary, whose Levi foliation contains a compact leaf with contracting, flat holonomy, admit no CR embedding as a hypersurface of a complex manifold. In particular, it follows that the foliation constructed in [6] is not embeddable.
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	161-169
刊行年月	2014-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/29184
DOI	https://doi.org/10.18910/29184
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. 161-169
DC.title	NON-EMBEDDABILITY OF CERTAIN CLASSES OF LEVI FLAT MANIFOLDS
DC.creator	Della Sala, Giuseppe
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	On the basis of a result of Barrett [2], we show that members of certain classes of abstract Levi flat manifolds with boundary, whose Levi foliation contains a compact leaf with contracting, flat holonomy, admit no CR embedding as a hypersurface of a complex manifold. In particular, it follows that the foliation constructed in [6] is not embeddable.
DC.identifier	10.18910/29184
DC.format	29184
citation_title	NON-EMBEDDABILITY OF CERTAIN CLASSES OF LEVI FLAT MANIFOLDS
citation_author	Della Sala, Giuseppe
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	161
citation_lastpage	169
citation_public_url	https://hdl.handle.net/11094/29184
citation_doi_detail	10.18910/29184
citation_doi	https://doi.org/10.18910/29184