切触子流形的紧邻域
Tight neighborhoods of contact submanifolds
摘要：
我们证明了闭切触子流形的任何足够小的邻域在其法丛的一个温和的假设下总是紧的。作为推论，证明了一般超扭流形中接触同胚的小正环$C^0$的不存在性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
