O‘zbekiston matematika jurnali Том 70 № 2 (2026) · с. 167-173
Geometry of orbits of Hamiltonian vector fields
Narmanov, A.Y., Parmonov, H.F.
Аннотация
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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