Browsing Facultat de Matemàtiques i Estadística by Subject "515.1"

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bm-Symplectic manifolds: symmetries, classification and stability

Planas Bahí, Arnau (Date of defense: 2020-09-30)

This thesis explores classification and perturbation problems for group actions on a class of Poisson manifolds called $b^m$-Poisson manifolds. $b^m$-Poisson manifolds are manifolds which are symplectic away from a ...

Global Hamiltonian dynamics on singular symplectic manifolds

Oms, Cédric (Date of defense: 2020-10-02)

In this thesis, we study the Reeb and Hamiltonian dynamics on singular symplectic and contact manifolds. Those structures are motivated by singularities coming from classical mechanics and fluid dynamics. We start by ...