Proceedings of the International Conference on Geometry, Integrability and Quantization

Second Order Symmetries of the Conformal Laplacian

Jean-Philippe Michel, Fabian Radoux, and Josef Silhan

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

Let $(M,{\rm g})$ be an arbitrary pseudo-Riemannian manifold of dimension at least three. We determine the form of all the conformal symmetries of the conformal Laplacian on $(M,{\rm g})$, which are given by differential operators of second order. They are constructed from conformal Killing two-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. We illustrate our results on two families of examples in dimension three. Besides, we explain how the (conformal) symmetries can be used to characterize the $R$-separation of some PDEs.

Article information

Source
Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Andrei Ludu and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2015), 231-249

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815747

Digital Object Identifier
doi:10.7546/giq-16-2015-231-249

Mathematical Reviews number (MathSciNet)
MR3363848

Zentralblatt MATH identifier
1350.53092

Citation

Michel, Jean-Philippe; Radoux, Fabian; Silhan, Josef. Second Order Symmetries of the Conformal Laplacian. Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, 231--249, Avangard Prima, Sofia, Bulgaria, 2015. doi:10.7546/giq-16-2015-231-249. https://projecteuclid.org/euclid.pgiq/1436815747


Export citation