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"
}