40 citations · 127 across the 7 of their papers we have counts for
7 papers
-Structures on Lie groups and Poisson reduction
Roisin Braddell, Anna Kiesenhofer, Eva Miranda
Motivated by the group of Galilean transformations and the subgroup of Galilean transformations which fix time zero, we introduce the notion of a -Lie group as a pair wh…
Small data global regularity for half-wave maps in dimensions
Anna Kiesenhofer, Joachim Krieger
We prove that the half-wave maps problem on with target is globally well-posed for smooth initial data which are small in the critical based Besov sp…
A -symplectic slice theorem
Roisin Braddell, Anna Kiesenhofer, Eva Miranda
In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of -symplectic manifolds started in [12], we prove a slice t…
Non-commutative integrable systems on -symplectic manifolds
Anna Kiesenhofer, Eva Miranda
In this paper we study non-commutative integrable systems on -Poisson manifolds. One important source of examples (and motivation) of such systems comes from considering non-com…
Cotangent models for integrable systems
Anna Kiesenhofer, Eva Miranda
We associate cotangent models to a neighbourhood of a Liouville torus in symplectic and Poisson manifolds focusing on a special class called -Poisson/-symplectic manifolds. T…
Examples of integrable and non-integrable systems on singular symplectic manifolds
Amadeu Delshams, Anna Kiesenhofer, Eva Miranda
We present a collection of examples borrowed from celestial mechanics and projective dynamics. In these examples symplectic structures with singularities arise naturally from regul…
Action-angle variables and a KAM theorem for b-Poisson manifolds
Anna Kiesenhofer, Eva Miranda, Geoffrey Scott
In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [LMV11] for general Poisson manifol…