Displaying similar documents to “Orbits of families of vector fields on subcartesian spaces”

Integrable systems and group actions

Eva Miranda (2014)

Open Mathematics

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The main purpose of this paper is to present in a unified approach to different results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems in these manifolds will be explored from this perspective.

Orbit Structure of certain ℝ 2 -actions on solid torus

C. Maquera, L. F. Martins (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this paper we describe the orbit structure of   C 2 -actions of   ℝ 2   on the solid torus   S 1 × D 2   having   S 1 × { 0 }   and   S 1 × ∂ D 2   as the only compact orbits, and   S 1 × { 0 }   as singular set.

On the flux homomorphism for regular Poisson manifolds

Rybicki, Tomasz

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Author’s abstract: “We introduce the concept of the flux homomorphism for regular Poisson manifolds. First we establish a one-to-one correspondence between Poisson diffeomorphisms close to i d and closed foliated 1-forms close to 0. This allows to show that the group of Poisson automorphisms is locally contractible and to define the flux locally. Then, by means of the foliated cohomology, we extend this local homomorphism to a global one”.