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Título:
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Rigidity for Poisson group actions
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Autor/a:
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Miranda Galcerán, Eva
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Abstract:
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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. |
Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica -Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals -Algebraic topology -Differential equations, Nonlinear -Topologia algebraica -Equacions diferencials algebraiques |
Derechos:
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Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Tipo de documento:
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Artículo - Versión publicada Artículo |
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