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Averaging of Legendrian submanifolds of contact manifolds
classification
🧮 math.SG
math.DG
keywords
legendriancontactinvariantmanifoldssubmanifoldsubmanifoldsactionalmost
read the original 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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