Publication result detail

SUB-RIEMANNIAN GEODESICS ASSOCIATED TO CR-GEOMETRY ON HEISENBERG GROUP H3

FROLÍK, S.; HRDINA, J.

Original Title

SUB-RIEMANNIAN GEODESICS ASSOCIATED TO CR-GEOMETRY ON HEISENBERG GROUP H3

English Title

SUB-RIEMANNIAN GEODESICS ASSOCIATED TO CR-GEOMETRY ON HEISENBERG GROUP H3

Type

WoS Article

Original Abstract

We introduce a class of curves corresponding to the class of metrics of sub-Riemannian geometry on the Heisenberg group IH[3. Any curve from the class belongs to a set of geodesics corresponding to a sub-Riemannian geometry on the Heisenberg group IH[3. We use the symmetries of CR-geometry as an additional geometric structure on IH[3 to construct these curves. We demonstrate how these classes of geodesics can be used for the corresponding control systems.

English abstract

We introduce a class of curves corresponding to the class of metrics of sub-Riemannian geometry on the Heisenberg group IH[3. Any curve from the class belongs to a set of geodesics corresponding to a sub-Riemannian geometry on the Heisenberg group IH[3. We use the symmetries of CR-geometry as an additional geometric structure on IH[3 to construct these curves. We demonstrate how these classes of geodesics can be used for the corresponding control systems.

Keywords

Geometric control theory;Heisenberg group;Symmetries;Sub-Riemannian geodesics;CR-structure

Key words in English

Geometric control theory;Heisenberg group;Symmetries;Sub-Riemannian geodesics;CR-structure

Authors

FROLÍK, S.; HRDINA, J.

RIV year

2025

Released

26.01.2024

Publisher

UNIV POLITEHNICA BUCHAREST

Location

BUCURESTI, ROMANIA

ISBN

1223-7027

Periodical

University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics

Volume

85

Number

4

State

Romania

Pages from

55

Pages to

66

Pages count

11

URL

https://www.scientificbulletin.upb.ro/rev_docs_arhiva/full8f0_196867.pdf

BibTex

@article{BUT187718,
  author="Stanislav {Frolík} and Jaroslav {Hrdina}",
  title="SUB-RIEMANNIAN GEODESICS ASSOCIATED TO CR-GEOMETRY ON HEISENBERG GROUP H3",
  journal="University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics",
  year="2024",
  volume="85",
  number="4",
  pages="55--66",
  issn="1223-7027",
  url="https://www.scientificbulletin.upb.ro/rev_docs_arhiva/full8f0_196867.pdf"
}