| HRDINA, Jaroslav, Aleš NÁVRAT and Lenka ZALABOVÁ. On symmetries of a sub-Riemannian structure with growth vector (4,7). Annali di Matematica Pura ed Applicata. Springer, 2023, vol. 202, No 1, p. 293-306. ISSN 0373-3114. Available from: https://dx.doi.org/10.1007/s10231-022-01242-6. |
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@article{2243742,
author = {Hrdina, Jaroslav and Návrat, Aleš and Zalabová, Lenka},
article_number = {1},
doi = {http://dx.doi.org/10.1007/s10231-022-01242-6},
keywords = {Nilpotent algebras; Lie symmetry group; Carnot groups; Sub-Riemannian geodesics},
language = {eng},
issn = {0373-3114},
journal = {Annali di Matematica Pura ed Applicata},
title = {On symmetries of a sub-Riemannian structure with growth vector (4,7)},
url = {https://link.springer.com/article/10.1007/s10231-022-01242-6},
volume = {202},
year = {2023}
}
TY - JOUR
ID - 2243742
AU - Hrdina, Jaroslav - Návrat, Aleš - Zalabová, Lenka
PY - 2023
TI - On symmetries of a sub-Riemannian structure with growth vector (4,7)
JF - Annali di Matematica Pura ed Applicata
VL - 202
IS - 1
SP - 293-306
EP - 293-306
PB - Springer
SN - 03733114
KW - Nilpotent algebras
KW - Lie symmetry group
KW - Carnot groups
KW - Sub-Riemannian geodesics
UR - https://link.springer.com/article/10.1007/s10231-022-01242-6
N2 - 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.
ER -
HRDINA, Jaroslav, Aleš NÁVRAT and Lenka ZALABOVÁ. On symmetries of a sub-Riemannian structure with growth vector (4,7). \textit{Annali di Matematica Pura ed Applicata}. Springer, 2023, vol.~202, No~1, p.~293-306. ISSN~0373-3114. Available from: https://dx.doi.org/10.1007/s10231-022-01242-6.
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