Статья

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

Аннотация

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.

Темы

Geometric Analysis and Curvature Flows Advanced Differential Equations and Dynamical Systems Advanced Differential Geometry Research

Идентификаторы

DOI: 10.1051/e3sconf/202340203032

Цитирования и источники

Цитирований: 0Использованных источников: 2

Показатели — AkademScholar · Скоро