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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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2018
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| 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| Summary: | 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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