Detail publikačního výsledku

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

HRDINA, J.; NÁVRAT, A.; ZALABOVÁ, L.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Nilpotent algebras; Lie symmetry group; Carnot groups; Sub-Riemannian geodesics

Klíčová slova v angličtině

Nilpotent algebras; Lie symmetry group; Carnot groups; Sub-Riemannian geodesics

Autoři

HRDINA, J.; NÁVRAT, A.; ZALABOVÁ, L.

Rok RIV

2023

Vydáno

17.07.2022

Nakladatel

SPRINGER HEIDELBERG

Místo

HEIDELBERG

ISSN

0003-4622

Periodikum

ANNALI DI MATEMATICA PURA ED APPLICATA

Svazek

1

Číslo

1

Stát

Italská republika

Strany od

1

Strany do

14

Strany počet

14

URL

https://link.springer.com/article/10.1007/s10231-022-01242-6

BibTex

@article{BUT178837,
  author="Jaroslav {Hrdina} and Aleš {Návrat} and Lenka {Zalabová}",
  title="On symmetries of a sub-Riemannian structure with growth vector (4,7)",
  journal="ANNALI DI MATEMATICA PURA ED APPLICATA",
  year="2022",
  volume="1",
  number="1",
  pages="1--14",
  doi="10.1007/s10231-022-01242-6",
  issn="0003-4622",
  url="https://link.springer.com/article/10.1007/s10231-022-01242-6"
}