Branson's Q-curvature in Riemannian and Spin Geometry

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Authors: Hijazi, O., Raulot, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147214
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...