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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F14%3A00073575%21RIV15-GA0-14310___
rdf:type
skos:Concept n19:Vysledek
dcterms:description
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 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
dcterms:title
Second Order Symmetries of the Conformal Laplacian Second Order Symmetries of the Conformal Laplacian
skos:prefLabel
Second Order Symmetries of the Conformal Laplacian Second Order Symmetries of the Conformal Laplacian
skos:notation
RIV/00216224:14310/14:00073575!RIV15-GA0-14310___
n3:aktivita
n8:P
n3:aktivity
P(GBP201/12/G028)
n3:cisloPeriodika
16
n3:dodaniDat
n7:2015
n3:domaciTvurceVysledku
n11:6901816
n3:druhVysledku
n5:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
44134
n3:idVysledku
RIV/00216224:14310/14:00073575
n3:jazykVysledku
n9:eng
n3:klicovaSlova
Laplacian; quantization; conformal geometry; separation of variables
n3:klicoveSlovo
n10:separation%20of%20variables n10:Laplacian n10:conformal%20geometry n10:quantization
n3:kodStatuVydavatele
UA - Ukrajina
n3:kontrolniKodProRIV
[0F0A6215602A]
n3:nazevZdroje
Symmetry, Integrability and Geometry: Methods and Applications
n3:obor
n4:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n12:GBP201%2F12%2FG028
n3:rokUplatneniVysledku
n7:2014
n3:svazekPeriodika
10
n3:tvurceVysledku
Šilhan, Josef Radoux, Fabian Michel, Jean-Philippe
n3:wos
000334516200001
s:issn
1815-0659
s:numberOfPages
26
n16:doi
10.3842/SIGMA.2014.016
n14:organizacniJednotka
14310