Constant curvature models in sub-Riemannian geometry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107198" target="_blank" >RIV/00216224:14310/19:00107198 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.geomphys.2018.09.013" target="_blank" >https://doi.org/10.1016/j.geomphys.2018.09.013</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2018.09.013" target="_blank" >10.1016/j.geomphys.2018.09.013</a>

Result language
angličtina
Original language name
Constant curvature models in sub-Riemannian geometry
Original language description
Each sub-Riemannian geometry with bracket generating distribution enjoys a background structure determined by the distribution itself. At the same time, those geometries with constant sub-Riemannian symbols determine a unique Cartan connection leading to their principal invariants. We provide cohomological description of the structure of these curvature invariants in the cases where the background structure is one of the parabolic geometries. As an illustration, constant curvature models are discussed for certain sub-Riemannian geometries.
Czech name
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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/GA17-01171S" target="_blank" >GA17-01171S: Invariant differential operators and their applications in geometric modelling and control theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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