descriptionPublicationkeyboard_double_arrow_right Journal , Article , Conference object , Other literature type 25 Sep 2025Publisher:European Mathematical Society - EMS - Publishing House GmbH

Authors: Huerta, Antonio; Roca Navarro, Francisco Javier; Angeloski, Aleksander; Peraire Guitart, Jaume;

doi: 10.4171/owr

handle: 2117/9832 , 2117/15916 , 11380/703962 , 11311/560169

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Abstract

In this talk we ¯rst review some classical results of rigidity for group actions of compact Lie groups on smooth manifolds and then we prove some rigidity results in the case the group action preserves a Poisson structure. The details of these proofs can be found in the paper [11] and the preprint [10]. In the general case of actions of compact Lie groups on smooth manifold there are two well-known results that entail rigidity. The ¯rst one is the theorem of Bochner [1] that says that actions of compact Lie groups can be linearized in a neighbourhood of a ¯xed point for the action. The second one is the theorem of Palais [12], that establishes that C1-close actions of compact Lie groups are conjugated via a di®eomorphism close to the identity.

Related Organizations

Universitat Polite`cnica de Catalunya
Spain
Universitat Politècnica de Catalunya
Spain
University of Modena and Reggio Emilia
Italy
Polytechnic University of Milan
Italy

Keywords

Differential equations, Engineering, Civil, 65E05 Numerical methods in complex analysis (potential theory, etc.), Engineering, Multidisciplinary, Nonlinear, magnetostriction, :Matemàtiques i estadística::Equacions diferencials i integrals [Àrees temàtiques de la UPC], Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica, Equacions diferencials algebraiques, Differential equations, Nonlinear, Engineering, Ocean, :Matemàtiques i estadística::Topologia::Topologia algebraica [Àrees temàtiques de la UPC], Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics, Engineering, Aerospace, Engineering, Biomedical, Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals, Anàlisi numèrica, Indipendenza; sistemi prodotto; dipendenza Markoviana; semigruppi Markoviani quantistici, :Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics [Àrees temàtiques de la UPC], Topologia algebraica, Computer Science, Software Engineering, Engineering, Marine, Engineering, Manufacturing, Engineering, Mechanical, Engineering, Industrial, Algebraic topology, Numerical analysis

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