Add to ORKGA semisymplectic action of a Lie groups on a symplectic manifold is one where each element of the group acts either symplectically or antisymplectically. We find conditions that a semisymplectic action descends to an action on the symplectic reduced spaces. We consider a few examples, and in particular apply these ideas to reduction of N-body systems with Galilean invariance. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS
We describe the structure of the Lie groups endowed with a left-invariant symplectic form, called sy...
In this article, motivated by the study of symplectic structures on manifolds with boundary and the ...
AbstractWe present a general framework for reduction of symplectic Q-manifolds via graded group acti...
A semisymplectic action of a Lie groups on a symplectic manifold is one where each element of the gr...
The problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and disc...
37 pagesThere exist three main approaches to reduction associated to canonical Lie group actions on ...
For symplectic group actions which are not Hamiltonian there are two ways to define reduction. First...
For symplectic group actions which are not Hamiltonian there are two ways to define reduction. First...
8 pages.During the last thirty years, symplectic or Marsden--Weinstein reduction has been a major to...
AbstractFor symplectic group actions which are not Hamiltonian there are two ways to define reductio...
This paper proves a symplectic reduction by stages theorem in the context of geometric mechanics on...
A symplectic symmetric space is a connected affine symmetric manifold M endowed with a symplectic st...
In this paper we show that the classical symplectic stratification theorem [17] of the reduced space...
In this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally ...
We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symme...
We describe the structure of the Lie groups endowed with a left-invariant symplectic form, called sy...
In this article, motivated by the study of symplectic structures on manifolds with boundary and the ...
AbstractWe present a general framework for reduction of symplectic Q-manifolds via graded group acti...
A semisymplectic action of a Lie groups on a symplectic manifold is one where each element of the gr...
The problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and disc...
37 pagesThere exist three main approaches to reduction associated to canonical Lie group actions on ...
For symplectic group actions which are not Hamiltonian there are two ways to define reduction. First...
For symplectic group actions which are not Hamiltonian there are two ways to define reduction. First...
8 pages.During the last thirty years, symplectic or Marsden--Weinstein reduction has been a major to...
AbstractFor symplectic group actions which are not Hamiltonian there are two ways to define reductio...
This paper proves a symplectic reduction by stages theorem in the context of geometric mechanics on...
A symplectic symmetric space is a connected affine symmetric manifold M endowed with a symplectic st...
In this paper we show that the classical symplectic stratification theorem [17] of the reduced space...
In this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally ...
We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symme...
We describe the structure of the Lie groups endowed with a left-invariant symplectic form, called sy...
In this article, motivated by the study of symplectic structures on manifolds with boundary and the ...
AbstractWe present a general framework for reduction of symplectic Q-manifolds via graded group acti...