SECOND ORDER SYMMETRIES OF THE CONFORMAL LAPLACIAN
Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine, 2014
Online
academicJournal
Zugriff:
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.
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SECOND ORDER SYMMETRIES OF THE CONFORMAL LAPLACIAN
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Autor/in / Beteiligte Person: | Michel, Jean-Philippe ; Radoux, Fabian ; Silhan, Josef |
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Veröffentlichung: | Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine, 2014 |
Medientyp: | academicJournal |
DOI: | 10.3842/SIGMA.2014.016 |
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