First BGG operators on homogeneous conformal geometries

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00134181" target="_blank" >RIV/00216224:14310/23:00134181 - isvavai.cz</a>
Alternative codes found
RIV/60076658:12310/23:43906523
Result on the web
<a href="https://doi.org/10.1088/1361-6382/acbc05" target="_blank" >https://doi.org/10.1088/1361-6382/acbc05</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6382/acbc05" target="_blank" >10.1088/1361-6382/acbc05</a>

Result language
angličtina
Original language name
First BGG operators on homogeneous conformal geometries
Original language description
We study first BGG operators and their solutions on homogeneous conformal geometries. We focus on conformal Killing tensors, conformal Killing-Yano forms and twistor spinors in particular. We develop an invariant calculus that allows us to find solutions explicitly using only algebraic computations. We also discuss applications to holonomy reductions and conserved quantities of conformal circles. We demonstrate our result on examples of homogeneous conformal geometries coming mostly from general relativity.
Czech name
—
Czech description
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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

Project
<a href="/en/project/GA20-11473S" target="_blank" >GA20-11473S: Symmetry and invariance in analysis, geometric modelling and control theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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