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Contact Embeddings in Standard Contact Spheres via Approximately Holomorphic Geometry
http://hdl.handle.net/2261/52703
http://hdl.handle.net/2261/527036a5c04df-826a-40f0-9fdf-7c760cd489c2
名前 / ファイル | ライセンス | アクション |
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jms180201.pdf (152.3 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2012-12-12 | |||||
タイトル | ||||||
タイトル | Contact Embeddings in Standard Contact Spheres via Approximately Holomorphic Geometry | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Martínez, Torres David
× Martínez, Torres David |
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著者所属 | ||||||
著者所属 | Centro de Análise Matemática Geometria e Sistemas Dinâamicos, Departamento de Matemática, Instituto Superior Técnico | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We generalize the work of A. Mori using approximately holomorphic methods to show that any closed co-oriented contact manifold of dimension 2n + 1 admits contact embeddings in the standard contact sphere of dimension 4n + 3. This also recovers results of M. Gromov but without appealing to an h-principle. Our construction also extends Mori's in being compatible with the open book decompositions carrying contact structures as introduced by E. Giroux. Therefore our work provides a unified setting for contact embeddings and open book decompositions for closed co-oriented contact manifolds. We also remark on the properties of the pages of the open book decompositions. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 18, 号 2, p. 139-154, 発行日 2011-12-09 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
53D35(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
57R40(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
53C25(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2010-09-08 |