Publication detail

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

FROLÍK, S. HRDINA, J.

English title

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

Type

journal article in Web of Science

Language

en

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 in English

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

Released

26.01.2024

Publisher

UNIV POLITEHNICA BUCHAREST

Location

BUCURESTI, ROMANIA

ISSN

1223-7027

Volume

85

Number

4

Pages from–to

55–66

Pages count

11

BIBTEX


@article{BUT187718,
  author="Stanislav {Frolík} and Jaroslav {Hrdina},
  title="SUB-RIEMANNIAN GEODESICS ASSOCIATED TO CR-GEOMETRY ON HEISENBERG GROUP H3",
  year="2024",
  volume="85",
  number="4",
  month="January",
  pages="55--66",
  publisher="UNIV POLITEHNICA BUCHAREST",
  address="BUCURESTI, ROMANIA",
  issn="1223-7027"
}