A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds
This short paper gives a constraint on Chern classes of closed strictly pseudoconvex CR manifolds (or equivalently, closed holomorphically fillable contact manifolds) of dimension at least five. We also see that our result is ''optimal'' through some examples.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210605 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds. Yuya Takeuchi. SIGMA 16 (2020), 005, 5 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862610663221755904 |
|---|---|
| author | Takeuchi, Yuya |
| author_facet | Takeuchi, Yuya |
| citation_txt | A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds. Yuya Takeuchi. SIGMA 16 (2020), 005, 5 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This short paper gives a constraint on Chern classes of closed strictly pseudoconvex CR manifolds (or equivalently, closed holomorphically fillable contact manifolds) of dimension at least five. We also see that our result is ''optimal'' through some examples.
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| first_indexed | 2025-12-17T12:03:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210605 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-17T12:03:34Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Takeuchi, Yuya 2025-12-12T10:39:50Z 2020 A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds. Yuya Takeuchi. SIGMA 16 (2020), 005, 5 pages 1815-0659 2010 Mathematics Subject Classification: 32V15; 32T15; 32V05; 57R17 arXiv:1808.02209 https://nasplib.isofts.kiev.ua/handle/123456789/210605 DOI: https://doi.org/10.3842/SIGMA.2020.005 This short paper gives a constraint on Chern classes of closed strictly pseudoconvex CR manifolds (or equivalently, closed holomorphically fillable contact manifolds) of dimension at least five. We also see that our result is ''optimal'' through some examples. This paper is a part of the author's Ph.D. Thesis. He is grateful to his supervisor, Kengo Hirachi, for various valuable suggestions. He would like to thank Masanori Adachi, Tomohiro Asano, and Takeo Ohsawa for helpful comments. This work was supported by JSPS Research Fellowship for Young Scientists, JSPS KAKENHI Grant Numbers JP16J04653 and JP19J00063, and the Program for Leading Graduate Schools, MEXT, Japan. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds Article published earlier |
| spellingShingle | A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds Takeuchi, Yuya |
| title | A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds |
| title_full | A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds |
| title_fullStr | A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds |
| title_full_unstemmed | A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds |
| title_short | A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds |
| title_sort | constraint on chern classes of strictly pseudoconvex cr manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210605 |
| work_keys_str_mv | AT takeuchiyuya aconstraintonchernclassesofstrictlypseudoconvexcrmanifolds AT takeuchiyuya constraintonchernclassesofstrictlypseudoconvexcrmanifolds |