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Rigidity of Hamiltonian actions on Poisson manifolds

Autor
Miranda, E.; Monnier, P.; Tien Zung, N.
Tipus d'activitat
Document cientificotècnic
Data
2011-02-01
Repositori
http://hdl.handle.net/2117/12645 Obrir en finestra nova
URL
http://arxiv.org/PS_cache/arxiv/pdf/1102/1102.0175v1.pdf Obrir en finestra nova
Resum
This paper is about the rigidity of compact group actions in the Poisson context. The main result is that Hamiltonian actions of compact semisimple type are rigid. We prove it via a Nash-Moser normal form theorem for closed subgroups of SCI-type. This Nash-Moser normal form has other applications to stability results that we will explore in a future paper. We also review some classical rigidity results for differentiable actions of compact Lie groups and export it to the case of symplectic actio...
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

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