2025-02-23T14:51:29-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-146597%22&qt=morelikethis&rows=5
2025-02-23T14:51:29-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-146597%22&qt=morelikethis&rows=5
2025-02-23T14:51:29-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T14:51:29-05:00 DEBUG: Deserialized SOLR response
Invariant Poisson Realizations and the Averaging of Dirac Structures

Invariant Poisson Realizations and the Averaging of Dirac Structures

We describe an averaging procedure on a Dirac manifold, with respect to a class of compatible actions of a compact Lie group. Some averaging theorems on the existence of invariant realizations of Poisson structures around (singular) symplectic leaves are derived. We show that the construction of cou...

Full description

Saved in:
Bibliographic Details
Main Authors: Vallejo, J.A., Vorobiev, Y.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146597
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We describe an averaging procedure on a Dirac manifold, with respect to a class of compatible actions of a compact Lie group. Some averaging theorems on the existence of invariant realizations of Poisson structures around (singular) symplectic leaves are derived. We show that the construction of coupling Dirac structures (invariant with respect to locally Hamiltonian group actions) on a Poisson foliation is related with a special class of exact gauge transformations.

Similar Items