| ŠILHAN, Josef, Jean-Philippe MICHEL a Fabian RADOUX. Second Order Symmetries of the Conformal Laplacian. Symmetry, Integrability and Geometry: Methods and Applications. Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine, 2014, roč. 10, č. 16, s. "nestrankovano", 26 s. ISSN 1815-0659. Dostupné z: https://dx.doi.org/10.3842/SIGMA.2014.016. |
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@article{1174060,
author = {Šilhan, Josef and Michel, JeanandPhilippe and Radoux, Fabian},
article_number = {16},
doi = {http://dx.doi.org/10.3842/SIGMA.2014.016},
keywords = {Laplacian; quantization; conformal geometry; separation of variables},
language = {eng},
issn = {1815-0659},
journal = {Symmetry, Integrability and Geometry: Methods and Applications},
title = {Second Order Symmetries of the Conformal Laplacian},
volume = {10},
year = {2014}
}
TY - JOUR
ID - 1174060
AU - Šilhan, Josef - Michel, Jean-Philippe - Radoux, Fabian
PY - 2014
TI - Second Order Symmetries of the Conformal Laplacian
JF - Symmetry, Integrability and Geometry: Methods and Applications
VL - 10
IS - 16
SP - "nestrankovano"
EP - "nestrankovano"
PB - Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
SN - 18150659
KW - Laplacian
KW - quantization
KW - conformal geometry
KW - separation of variables
N2 - 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 dif ferential 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
ER -
ŠILHAN, Josef, Jean-Philippe MICHEL a Fabian RADOUX. Second Order Symmetries of the Conformal Laplacian. \textit{Symmetry, Integrability and Geometry: Methods and Applications}. Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine, 2014, roč.~10, č.~16, s.~''nestrankovano'', 26 s. ISSN~1815-0659. Dostupné z: https://dx.doi.org/10.3842/SIGMA.2014.016.
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