On Automorphisms with Natural Tangent Actions on Homogeneous Parabolic Geometries

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00086893" target="_blank" >RIV/00216224:14310/15:00086893 - isvavai.cz</a>
Alternative codes found
RIV/60076658:12310/15:43888793
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On Automorphisms with Natural Tangent Actions on Homogeneous Parabolic Geometries
Original language description
We consider automorphisms of homogeneous parabolic geometries with a fixed point. Parabolic geometries carry the distinguished distributions and we study those automorphisms which enjoy natural actions on the distributions at the fixed points. We describe the sets of such automorphisms on homogeneous parabolic geometries in detail and classify whether there are non flat homogeneous parabolic geometries carrying such automorphisms. We present two general constructions of such geometries and we provide complete classifications for the types (G, P) of the parabolic geometries that have G simple and the automorphisms are of order 2.
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
Result was created during the realization of more than one project. More information in the Projects tab.
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

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