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Averaging of Legendrian submanifolds of contact manifolds

Marco Zambon
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Abstract

We give a procedure to ``average'' canonically $C^1$-close Legendrian submanifolds of contact manifolds. As a corollary we obtain that, whenever a compact group action leaves a Legendrian submanifold almost invariant, there is an invariant Legendrian submanifold nearby.

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Marco Zambon. 2005-04-24. Averaging of Legendrian submanifolds of contact manifolds. https://arxiv.org/abs/math/0403199

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