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Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10333948" target="_blank" >RIV/00216208:11320/17:10333948 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216224:14310/17:00095529

  • Result on the web

    <a href="http://dx.doi.org/10.1216/RMJ-2017-47-2-587" target="_blank" >http://dx.doi.org/10.1216/RMJ-2017-47-2-587</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1216/RMJ-2017-47-2-587" target="_blank" >10.1216/RMJ-2017-47-2-587</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator

  • Original language description

    We determine the space of commuting sym- metries of the Laplace operator on pseudo-Riemannian man- ifolds of constant curvature and derive its algebra structure. Our construction is based on Riemannian tractor calculus, allowing us to construct a prolongation of the dierential system for symmetric Killing tensors. We also discuss some aspects of its relation to projective dierential geometry.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • 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)

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Rocky Mountain Journal of Mathematics

  • ISSN

    0035-7596

  • e-ISSN

  • Volume of the periodical

    47

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    33

  • Pages from-to

    587-619

  • UT code for WoS article

    000399753600014

  • EID of the result in the Scopus database

    2-s2.0-85018730460