SECOND ORDER SYMMETRIES OF THE CONFORMAL LAPLACIAN

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00114254" target="_blank" >RIV/00216224:14310/15:00114254 - isvavai.cz</a>
Result on the web
<a href="https://projecteuclid.org/download/pdf_1/euclid.pgiq/1436815747" target="_blank" >https://projecteuclid.org/download/pdf_1/euclid.pgiq/1436815747</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7546/giq-16-2015-231-249" target="_blank" >10.7546/giq-16-2015-231-249</a>

Result language
angličtina
Original language name
SECOND ORDER SYMMETRIES OF THE CONFORMAL LAPLACIAN
Original language description
Let (M, 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, 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.
Czech name
—
Czech description
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Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
PROCEEDINGS OF THE SIXTEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION
ISBN
—
ISSN
1314-3247
e-ISSN
2367-7147
Number of pages
19
Pages from-to
231-249
Publisher name
INST BIOPHYSICS & BIOMEDICAL ENGINEERING BULGARIAN ACAD SCIENCES
Place of publication
SOFIA
Event location
Varna, BULGARIA
Event date
Jun 6, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000435080900013

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