Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals
Search results

Search: MSC category 37J25 ( Stability problems )

 Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2003 (vol 46 pp. 277)

Rochon, Frédéric
 Rigidity of Hamiltonian Actions This paper studies the following question: Given an $\omega'$-symplectic action of a Lie group on a manifold $M$ which coincides, as a smooth action, with a Hamiltonian $\omega$-action, when is this action a Hamiltonian $\omega'$-action? Using a result of Morse-Bott theory presented in Section~2, we show in Section~3 of this paper that such an action is in fact a Hamiltonian $\omega'$-action, provided that $M$ is compact and that the Lie group is compact and connected. This result was first proved by Lalonde-McDuff-Polterovich in 1999 as a consequence of a more general theory that made use of hard geometric analysis. In this paper, we prove it using classical methods only. Categories:53D05, 37J25

© Canadian Mathematical Society, 2014 : https://cms.math.ca/