O‘zbekiston matematika jurnali Volume 70 Issue 2 (2026) · pp. 167-173

Geometry of orbits of Hamiltonian vector fields

Narmanov, A.Y., Parmonov, H.F.

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Abstract

Hamilton systems play a fundamental role in mechanics and mathematics, which usually generated by Hamiltonian vector fields.The geometry and topology of vector field orbits is not only an important branch of modern geometry, but also has important applications in many fields of science and engineering. This article studies the geometric characteristics of the leaves of the foliation generated by the orbits of Hamiltonian vector fields.

Hamiltonian vector field, Gauss curvature, Gauss torsion, foliation

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Cite

APA 7 
Narmanov, A.Y. & Parmonov, H.F. (2026). Geometry of orbits of Hamiltonian vector fields. O‘zbekiston matematika jurnali, 70(2), 167-173.
GOST R 7.0.5 
Narmanov, A.Y., Parmonov, H.F. Geometry of orbits of Hamiltonian vector fields // O‘zbekiston matematika jurnali. 2026. Т. 70. № 2. С. 167-173.
BibTeX 
@article{a.y.2026,
  author  = {Narmanov, A.Y. and Parmonov, H.F.},
  title   = {Geometry of orbits of Hamiltonian vector fields},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {2},
  pages   = {167-173}
}
RIS 
TY  - JOUR
AU  - Narmanov, A.Y.
AU  - Parmonov, H.F.
TI  - Geometry of orbits of Hamiltonian vector fields
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 2
SP  - 167
EP  - 173
ER  -