Second Order Symmetries of the Conformal Laplacian

J 2014

Second Order Symmetries of the Conformal Laplacian

ŠILHAN, Josef; Jean-Philippe MICHEL a Fabian RADOUX

Základní údaje

Originální název

Second Order Symmetries of the Conformal Laplacian

Autoři

ŠILHAN, Josef; Jean-Philippe MICHEL a Fabian RADOUX

Vydání

Symmetry, Integrability and Geometry: Methods and Applications, Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine, 2014, 1815-0659

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Ukrajina

Utajení

není předmětem státního či obchodního tajemství

Impakt faktor

Impact factor: 1.245

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/14:00073575

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Laplacian; quantization; conformal geometry; separation of variables

Štítky

AKR, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 11. 4. 2015 12:44, Ing. Andrea Mikešková

Anotace

V originále

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

Návaznosti

GBP201/12/G028, projekt VaV

Název: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Investor: Grantová agentura ČR, Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Citovat

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://doi.org/10.3842/SIGMA.2014.016.

@article{1174060,
   author = {Šilhan, Josef and Michel, JeanandPhilippe and Radoux, Fabian},
   article_number = {16},
   doi = {https://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://doi.org/10.3842/SIGMA.2014.016.

Přehled o publikaci