Publications by Juan-Pablo Ortega

Related publications (7)

The Momentum Map In Poisson Geometry

Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction. ...

2009

Openness And Convexity For Momentum Maps

Tudor Ratiu, Juan-Pablo Ortega

The purpose of this paper is finding the essential attributes underlying the convexity theorems for momentum maps. It is shown that they are of a topological nature; more specifically, we show that convexity follows if the map is open onto its image and ha ...

2009

Juan-Pablo Ortega

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The Momentum Map In Poisson Geometry

Openness And Convexity For Momentum Maps

The universal covering and covered spaces of a symplectic Lie algebra action

The stratified spaces of a symplectic Lie group action

A local-to-global principle for convexity in metric spaces

The reduced spaces of a symplectic Lie group action

Asymptotic and Lyapunov stability of constrained and Poisson equilibria