Some Remarks on the Total CR Q and Q′-Curvatures
We prove that the total CR Q-curvature vanishes for any compact strictly pseudoconvex CR manifold. We also prove the formal self-adjointness of the P′-operator and the CR invariance of the total Q′-curvature for any pseudo-Einstein manifold without the assumption that it bounds a Stein manifold....
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2018 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209454 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Some Remarks on the Total CR Q and Q′-Curvatures / T. Marugame // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862602480123117568 |
|---|---|
| author | Marugame, T. |
| author_facet | Marugame, T. |
| citation_txt | Some Remarks on the Total CR Q and Q′-Curvatures / T. Marugame // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We prove that the total CR Q-curvature vanishes for any compact strictly pseudoconvex CR manifold. We also prove the formal self-adjointness of the P′-operator and the CR invariance of the total Q′-curvature for any pseudo-Einstein manifold without the assumption that it bounds a Stein manifold.
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| first_indexed | 2025-11-28T02:53:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209454 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T02:53:51Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Marugame, T. 2025-11-21T19:06:17Z 2018 Some Remarks on the Total CR Q and Q′-Curvatures / T. Marugame // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 15 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 32V05; 52T15 arXiv: 1711.01724 https://nasplib.isofts.kiev.ua/handle/123456789/209454 https://doi.org/10.3842/SIGMA.2018.010 We prove that the total CR Q-curvature vanishes for any compact strictly pseudoconvex CR manifold. We also prove the formal self-adjointness of the P′-operator and the CR invariance of the total Q′-curvature for any pseudo-Einstein manifold without the assumption that it bounds a Stein manifold. The author would like to thank the referees for their comments, which were helpful for the improvement of the manuscript. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Some Remarks on the Total CR Q and Q′-Curvatures Article published earlier |
| spellingShingle | Some Remarks on the Total CR Q and Q′-Curvatures Marugame, T. |
| title | Some Remarks on the Total CR Q and Q′-Curvatures |
| title_full | Some Remarks on the Total CR Q and Q′-Curvatures |
| title_fullStr | Some Remarks on the Total CR Q and Q′-Curvatures |
| title_full_unstemmed | Some Remarks on the Total CR Q and Q′-Curvatures |
| title_short | Some Remarks on the Total CR Q and Q′-Curvatures |
| title_sort | some remarks on the total cr q and q′-curvatures |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209454 |
| work_keys_str_mv | AT marugamet someremarksonthetotalcrqandqcurvatures |