On symmetries of a sub-Riemannian structure with growth vector (4,7)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12310%2F23%3A43906524" target="_blank" >RIV/60076658:12310/23:43906524 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/23:00134035
Result on the web
<a href="https://link.springer.com/article/10.1007/s10231-022-01242-6" target="_blank" >https://link.springer.com/article/10.1007/s10231-022-01242-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10231-022-01242-6" target="_blank" >10.1007/s10231-022-01242-6</a>

Result language
angličtina
Original language name
On symmetries of a sub-Riemannian structure with growth vector (4,7)
Original language description
We study symmetries of specific left-invariant sub-Riemannian structure with filtration (4, 7) and their impact on sub-Riemannian geodesics of corresponding control problem. We show that there are two very different types of geodesics, they either do not intersect the fixed point set of symmetries or are contained in this set for all times. We use the symmetry reduction to study properties of geodesics.
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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

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