Article (Scientific journals)
SECOND ORDER SYMMETRIES OF THE CONFORMAL LAPLACIAN
Michel, Jean-Philippe; Radoux, Fabian; Silhan, Josef
2014In Symmetry, Integrability and Geometry: Methods and Applications, 10 (016), p. 26
Peer Reviewed verified by ORBi
 

Files


Full Text
SIGMA2014-016.pdf
Publisher postprint (451.59 kB)
Download

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
Laplacian; quantization;; conformal geometry;; separation of variables.
Abstract :
[en] 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.
Disciplines :
Mathematics
Author, co-author :
Michel, Jean-Philippe ;  Université de Liège - ULiège > Département de mathématique > Géométrie différentielle
Radoux, Fabian ;  Université de Liège - ULiège > Département de mathématique > Géométrie différentielle
Silhan, Josef;  Masaryk University > Mathematics
Language :
English
Title :
SECOND ORDER SYMMETRIES OF THE CONFORMAL LAPLACIAN
Publication date :
2014
Journal title :
Symmetry, Integrability and Geometry: Methods and Applications
eISSN :
1815-0659
Publisher :
Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Volume :
10
Issue :
016
Pages :
26 p.
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 17 March 2014

Statistics


Number of views
40 (1 by ULiège)
Number of downloads
122 (0 by ULiège)

Scopus citations®
 
15
Scopus citations®
without self-citations
12
OpenCitations
 
7

Bibliography


Similar publications



Contact ORBi