CLASSIFICATION OF FOUR-DIMENSIONAL INTEGRABLE HAMILTONIAN SYSTEMS AND POISSON ACTIONS OF $ \mathbb{R}^2$ IN EXTENDED NEIGHBORHOODS OF SIMPLE SINGULAR POINTS. I

Abstract

Integrable Hamiltonian systems and Poisson actions of the group with simple singular points on a smooth ( or real-analytic) four-dimensional symplectic manifold are studied, where is a symplectic 2-form.Bibliography: 18 titles.