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On the geometry of Liouville foliations

Abdigappar NarmanovNational University of Uzbekistan, 100174, 4 University, Tashkent, UzbekistanShohida ErgashovaNational University of Uzbekistan, 100174, 4 University, Tashkent, Uzbekistan
E3S Web of Conferencesjournal2023en
ABI

Abstract

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.

Topics

Geometric Analysis and Curvature FlowsAdvanced Differential Equations and Dynamical SystemsAdvanced Differential Geometry Research

Identifiers

DOI
10.1051/e3sconf/202340203032

Citations and references

Cited by 02 references
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