Integrable systems and group actions

The main purpose of this paper is to present in a uni¯ed approach to see di®erent results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems in these manifolds will be explored from this perspective.

Bibliographic Details
Author: Miranda Galcerán, Eva|||0000-0001-9518-5279
Format: report
Publication Date:2011
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/15922
Online Access:https://hdl.handle.net/2117/15922
Access Level:Open access
Keyword:Poisson manifolds
Differential geometry
Geometria integral
Geometria diferencial
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística
Description
Summary:The main purpose of this paper is to present in a uni¯ed approach to see di®erent results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems in these manifolds will be explored from this perspective.