A Remark on Integrable Poisson Algebras and Two Dimensional Manifolds

TL;DR

This paper explores the connection between integrable Poisson algebras with three generators and two-dimensional manifolds, analyzing their structures and the role of Poisson algebraic maps.

Contribution

It provides new insights into the relationship between specific Poisson algebras and geometric structures on two-dimensional manifolds.

Findings

Characterization of integrable Poisson algebras with three generators

Analysis of Poisson algebraic maps in the context of 2D manifolds

Establishment of links between algebraic and geometric structures

Abstract

The relations between integrable Poisson algebras with three generators and two-dimensional manifolds are investigated. Poisson algebraic maps are also discussed.