Branson's Q-curvature in Riemannian and Spin Geometry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Branson's Q-curvature in Riemannian and Spin Geometry
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| Creator |
Hijazi, O.
Raulot, S. |
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| Description |
On a closed n-dimensional manifold, n ≥ 5, we compare the three basic conformally covariant operators: the Paneitz-Branson, the Yamabe and the Dirac operator (if the manifold is spin) through their first eigenvalues. On a closed 4-dimensional Riemannian manifold, we give a lower bound for the square of the first eigenvalue of the Yamabe operator in terms of the total Branson's Q-curvature. As a consequence, if the manifold is spin, we relate the first eigenvalue of the Dirac operator to the total Branson's Q-curvature. Equality cases are also characterized.
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| Date |
2019-02-13T19:10:41Z
2019-02-13T19:10:41Z 2007 |
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| Type |
Article
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| Identifier |
Branson's Q-curvature in Riemannian and Spin Geometry / O. Hijazi, S. Raulot // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 53C20; 53C27; 58J50 http://dspace.nbuv.gov.ua/handle/123456789/147214 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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