On symmetries of a sub-Riemannian structure with growth vector (4,7)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU145285" target="_blank" >RIV/00216305:26210/22:PU145285 - isvavai.cz</a>
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>
Alternative languages
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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ANNALI DI MATEMATICA PURA ED APPLICATA
ISSN
0003-4622
e-ISSN
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Volume of the periodical
1
Issue of the periodical within the volume
1
Country of publishing house
IT - ITALY
Number of pages
14
Pages from-to
1-14
UT code for WoS article
000826261700001
EID of the result in the Scopus database
2-s2.0-85134527728