Tight neighborhoods of contact submanifolds
classification
🧮 math.SG
keywords
contactsmalltightalwaysassumptionbundleclosedcontactomorphisms
read the original abstract
We prove that any small enough neighborhood of a closed contact submanifold is always tight under a mild assumption on its normal bundle. The non-existence of $C^0$--small positive loops of contactomorphisms in general overtwisted manifolds is shown as a corollary.
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