2023
On symmetries of a sub-Riemannian structure with growth vector (4,7)
HRDINA, Jaroslav; Aleš NÁVRAT and Lenka ZALABOVÁBasic information
Original name
On symmetries of a sub-Riemannian structure with growth vector (4,7)
Authors
HRDINA, Jaroslav; Aleš NÁVRAT and Lenka ZALABOVÁ (203 Czech Republic, guarantor, belonging to the institution)
Edition
Annali di Matematica Pura ed Applicata, Springer, 2023, 0373-3114
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Germany
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 1.000
RIV identification code
RIV/00216224:14310/23:00134035
Organization unit
Faculty of Science
UT WoS
000826261700001
EID Scopus
2-s2.0-85134527728
Keywords in English
Nilpotent algebras; Lie symmetry group; Carnot groups; Sub-Riemannian geodesics
Tags
Tags
International impact, Reviewed
Changed: 4/4/2024 16:06, Mgr. Marie Novosadová Šípková, DiS.
Abstract
In the original language
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.
Links
| GA20-11473S, research and development project |
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