On the geometry of Liouville foliations

The paper studies the geometry of Liouville foliation generated by integrable Hamiltonian system. It is shown that regular leaves are two-dimensional surface of zero Gaussian curvature and zero Gaussian torsion.

Bibliographic Details
Main Authors: Narmanov Abdigappar, Ergashova Shohida
Format: Article
Language:English
Published: EDP Sciences 2023-01-01
Series:E3S Web of Conferences
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/39/e3sconf_transsiberia2023_03032.pdf