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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