General construction of symmetric parabolic structures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00057709" target="_blank" >RIV/00216224:14310/12:00057709 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.difgeo.2012.06.006" target="_blank" >http://dx.doi.org/10.1016/j.difgeo.2012.06.006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.difgeo.2012.06.006" target="_blank" >10.1016/j.difgeo.2012.06.006</a>

Result language
angličtina
Original language name
General construction of symmetric parabolic structures
Original language description
First we introduce a generalization of symmetric spaces to parabolic geometries. We provide construction of such parabolic geometries starting with classical symmetric spaces and we show that all regular parabolic geometries with smooth systems of involutive symmetries can be obtained in this way. Further, we investigate the case of parabolic contact geometries in great detail and we provide the full classification of those with semisimple groups of symmetries without complex factors. Finally, we explicitly construct all non-trivial contact geometries with non-complex simple groups of symmetries. We also indicate geometric interpretations of some of them.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GD201%2F09%2FH012" target="_blank" >GD201/09/H012: Algebraic and geometric methods and structures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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