论文标题
通过形状不变接触非方形和有序性
Contact non-squeezing and orderability via the shape invariant
论文作者
论文摘要
我们证明，在某些歧管的单位cotangent捆绑包的接触中，在星形域之间的一类嵌入的触点非方面结果。嵌入类别的嵌入方式不符合身份的同位素。这产生了一个新的证据，表明正在考虑的单位束束中没有接触型的正态循环。证明使用Sikorav和Eliashberg引入的形状不变。
We prove a contact non-squeezing result for a class of embeddings between starshaped domains in the contactization of the symplectization of the unit cotangent bundle of certain manifolds. The class of embeddings includes embeddings which are not isotopic to the identity. This yields a new proof that there is no positive loop of contactomorphisms in the unit cotangent bundles under consideration. The proof uses the shape invariant introduced by Sikorav and Eliashberg.
