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періодичних видань НАН України
Second Order Symmetries of the Conformal Laplacian
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Michel, J.P. | |
| dc.contributor.author | Radoux, F. | |
| dc.contributor.author | Šilhan, J. | |
| dc.date.accessioned | 2019-02-11T17:00:31Z | |
| dc.date.available | 2019-02-11T17:00:31Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Second Order Symmetries of the Conformal Laplacian / J.P. Michel, F. Radoux, J. Šilhan // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 31 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 58J10; 53A30; 70S10; 53D20; 53D55 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.016 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146838 | |
| dc.description.abstract | Let (M,g) be an arbitrary pseudo-Riemannian manifold of dimension at least 3. We determine the form of all the conformal symmetries of the conformal (or Yamabe) Laplacian on (M,g), which are given by differential operators of second order. They are constructed from conformal Killing 2-tensors satisfying a natural and conformally invariant condition. As a consequence, we get also the classification of the second order symmetries of the conformal Laplacian. Our results generalize the ones of Eastwood and Carter, which hold on conformally flat and Einstein manifolds respectively. We illustrate our results on two families of examples in dimension three. | uk_UA |
| dc.description.sponsorship | A special thanks is due to Jonathan Kress which points out a mistake in one of the example provided in the first version of this paper. It is a pleasure to acknowledge also Christian Duval and Galliano Valent for their constant interest in this work. Josef Silhan would like to thank ˇ Pawel Nurowski for helpful discussions. This research has been partially funded by the Interuniversity Attraction Poles Program initiated by the Belgian Science Policy Of fice. J. Silhan was supported by the grant agency of ˇ the Czech republic under the grant P201/12/G028. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Second Order Symmetries of the Conformal Laplacian | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
