NON-EMBEDDABILITY OF CERTAIN CLASSES OF LEVI FLAT MANIFOLDS

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タイトル	NON-EMBEDDABILITY OF CERTAIN CLASSES OF LEVI FLAT MANIFOLDS
著者	Della Sala, Giuseppe 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.
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	161
終了ページ	169
刊行年月	2014-01
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/29184
言語	英語
DOI	info:doi/10.18910/29184

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.161-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2014-01
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/29184
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	info:doi/10.18910/29184
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/29184
citation_doi	info:doi/10.18910/29184