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.
| Mualliflar | Narmanov , A.Y., Parmonov , H.F. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-07-02 |
| Jild | 70 |
| Son | 2 |
| Betlar | 167-173 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-2-20 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-2-20 · Maqolaning asl sahifasi
Hamiltonian vector field, Gauss curvature, Gauss torsion, foliation
| APA | Narmanov , A.Y., & Parmonov , H.F. (2026). Geometry of orbits of Hamiltonian vector fields. O‘zbekiston matematika jurnali, 70(2), 167-173. https://doi.org/10.29229/uzmj.2026-2-20 |
|---|---|
| GOST (OAK) | Narmanov , A.Y., Parmonov , H.F. Geometry of orbits of Hamiltonian vector fields // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 2. – P. 167-173. – DOI: 10.29229/uzmj.2026-2-20. |
| MLA | Narmanov , A.Y., and Parmonov , H.F. “Geometry of orbits of Hamiltonian vector fields.” O‘zbekiston matematika jurnali, 70(2), 167-173, 2026. https://doi.org/10.29229/uzmj.2026-2-20 |
| Chicago | Narmanov , A.Y., and Parmonov , H.F. “Geometry of orbits of Hamiltonian vector fields.” O‘zbekiston matematika jurnali, 70(2), 167-173 (2026). https://doi.org/10.29229/uzmj.2026-2-20 |
| Harvard | Narmanov , A.Y., and Parmonov , H.F (2026) ‘Geometry of orbits of Hamiltonian vector fields’, O‘zbekiston matematika jurnali, 70(2), 167-173. https://doi.org/10.29229/uzmj.2026-2-20 |
| BibTeX | @article{narmanovay2026,
title = {Geometry of orbits of Hamiltonian vector fields},
author = {Narmanov , A.Y. and Parmonov , H.F.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {2},
pages = {167-173},
doi = {10.29229/uzmj.2026-2-20},
url = {https://doi.org/10.29229/uzmj.2026-2-20}
} |
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