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arXiv · 1601.01217

Rigidity of actions on presymplectic manifolds

Philippe Monnier
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Abstract

We prove the rigidity of presymplectic actions of a compact semisimple Lie algebra on a presymplectic manifold of constant rank in the local and global case. The proof uses an abstract normal form theorem we had stated in a previous work, based on an iterative process of Nash-Moser type. In order to use correctly this abstract theorem, we need to construct a new smoothing operator for differential forms and multivector fields which preserves the presymplectic feature.

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Philippe Monnier. 2017-04-24. Rigidity of actions on presymplectic manifolds. https://arxiv.org/abs/1601.01217

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