Rigidity of cotangent lifts and integrable systems

In this article we generalize a theorem by Palais on the rigidity ofcompact group actions to cotangent lifts. We use this result to prove rigidity forintegrable systems on symplectic manifolds including sytems with degeneratesingularities which are invariant under a torus action.

Detalles Bibliográficos
Autores: Mir Garcia, Pau|||0000-0002-6761-2445, Miranda Galcerán, Eva|||0000-0001-9518-5279
Tipo de recurso: informe técnico
Fecha de publicación:2020
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/340348
Acceso en línea:https://hdl.handle.net/2117/340348
Access Level:acceso abierto
Palabra clave:Symplectic geometry
Dynamical systems
Classificació AMS::37 Dynamical systems and ergodic theory
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística
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spelling Rigidity of cotangent lifts and integrable systemsMir Garcia, Pau|||0000-0002-6761-2445Miranda Galcerán, Eva|||0000-0001-9518-5279Symplectic geometryDynamical systemsClassificació AMS::37 Dynamical systems and ergodic theoryClassificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometryÀrees temàtiques de la UPC::Matemàtiques i estadísticaIn this article we generalize a theorem by Palais on the rigidity ofcompact group actions to cotangent lifts. We use this result to prove rigidity forintegrable systems on symplectic manifolds including sytems with degeneratesingularities which are invariant under a torus action.20202020-05-0120212021-02-23reporthttp://purl.org/coar/resource_type/c_93fcAOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/340348reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3403482026-05-27T15:37:01Z
dc.title.none.fl_str_mv Rigidity of cotangent lifts and integrable systems
title Rigidity of cotangent lifts and integrable systems
spellingShingle Rigidity of cotangent lifts and integrable systems
Mir Garcia, Pau|||0000-0002-6761-2445
Symplectic geometry
Dynamical systems
Classificació AMS::37 Dynamical systems and ergodic theory
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Rigidity of cotangent lifts and integrable systems
title_full Rigidity of cotangent lifts and integrable systems
title_fullStr Rigidity of cotangent lifts and integrable systems
title_full_unstemmed Rigidity of cotangent lifts and integrable systems
title_sort Rigidity of cotangent lifts and integrable systems
dc.creator.none.fl_str_mv Mir Garcia, Pau|||0000-0002-6761-2445
Miranda Galcerán, Eva|||0000-0001-9518-5279
author Mir Garcia, Pau|||0000-0002-6761-2445
author_facet Mir Garcia, Pau|||0000-0002-6761-2445
Miranda Galcerán, Eva|||0000-0001-9518-5279
author_role author
author2 Miranda Galcerán, Eva|||0000-0001-9518-5279
author2_role author
dc.subject.none.fl_str_mv Symplectic geometry
Dynamical systems
Classificació AMS::37 Dynamical systems and ergodic theory
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Symplectic geometry
Dynamical systems
Classificació AMS::37 Dynamical systems and ergodic theory
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística
description In this article we generalize a theorem by Palais on the rigidity ofcompact group actions to cotangent lifts. We use this result to prove rigidity forintegrable systems on symplectic manifolds including sytems with degeneratesingularities which are invariant under a torus action.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-05-01
2021
2021-02-23
dc.type.none.fl_str_mv report
http://purl.org/coar/resource_type/c_93fc
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/report
format report
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/340348
url https://hdl.handle.net/2117/340348
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
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