Second Order Symmetries of the Conformal Laplacian

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Michel, J.P., Radoux, F., Šilhan, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146838
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 satisf...