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FROLÍK, S. HRDINA, J.
Original Title
SUB-RIEMANNIAN GEODESICS ASSOCIATED TO CR-GEOMETRY ON HEISENBERG GROUP H3
Type
journal article in Web of Science
Language
English
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.
Keywords
Geometric control theory;Heisenberg group;Symmetries;Sub-Riemannian geodesics;CR-structure
Authors
FROLÍK, S.; HRDINA, J.
Released
26. 1. 2024
Publisher
UNIV POLITEHNICA BUCHAREST
Location
BUCURESTI, ROMANIA
ISBN
1223-7027
Periodical
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
Year of study
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" }