| Issue |
E3S Web of Conf.
Volume 458, 2023
International Scientific Conference Energy Management of Municipal Facilities and Environmental Technologies (EMMFT-2023)
|
|
|---|---|---|
| Article Number | 09013 | |
| Number of page(s) | 7 | |
| Section | IT and Mathematical Modeling in Energy Systems | |
| DOI | https://doi.org/10.1051/e3sconf/202345809013 | |
| Published online | 07 December 2023 | |
On the geometry of Hamiltonian vector fields
National University of Uzbekistan, 100174, 4 University, Tashkent, Uzbekistan
* Corresponding author: narmanov@yandex.ru
It is known that vector fields play an important role in many areas of mathematics and technology, in particular, in the theory of dynamical systems. Hamiltonian dynamical systems are generated by Hamiltonian vector fields. The paper studies the geometry of a singular foliation of a four-dimensional Euclidean space generated by the orbits of two Hamiltonian vector fields. It is proved that the regular leaf of this foliation is a surface of positive normal curvature and nonzero normal torsion.
© The Authors, published by EDP Sciences, 2023
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