14 citations · 16 across the 3 of their papers we have counts for
8 papers
A Note on Proper Poisson Actions
Rui Loja Fernandes
We show that the fixed point set of a proper action of a Lie group on a Poisson manifold by Poisson automorphisms has a natural induced Poisson structure and we give severa…
Rigidity and Flexibility in Poisson Geometry
Rui Loja Fernandes, Marius Crainic
We discuss several rigidity and flexibility phenomena in the context of Poisson geometry.
Linearization of Poisson brackets
Rui Loja Fernandes, Philippe Monnier
We review the linearization of Poisson brackets and related problems, in the formal, analytic and smooth categories.
Invariants of Lie algebroids
Rui L. Fernandes
Several new invariants for Lie algebroids have been discovered recently. We give an overview of these invariants and establish several relationships between them.
Integrability of Lie brackets
Marius Crainic, Rui L. Fernandes
In this paper we present the solution to a longstanding problem of differential geometry: Lie's third theorem for Lie algebroids. We show that the integrability problem is controll…
Hyperelliptic Prym Varieties and Integrable Systems
Rui Loja Fernandes, Pol Vanhaecke
We introduce two algebraic completely integrable analogues of the Mumford systems which we call hyperelliptic Prym systems, because every hyperelliptic Prym variety appears as a fi…