Averaging of Legendrian Submanifolds of Contact Manifolds
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We give a procedure to ‘average’ canonically C1-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.
Keywordscontact manifold invariant submanifold Legendrian submanifold
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