Partially ordered groups and geometry of contact transformations
Partially ordered groups and geometry of contact transformations
复制标题
接触变换的偏序群和几何
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
L. Polterovich
中科院分区：
文献类型：
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作者：
Y. Eliashberg;L. Polterovich
抽象的。我们证明，对于一类接触流形，接触微分同胚群的通用覆盖具有自然偏序。它带来了接触同态几何和动力学的新观点。它产生了接触同态的不变量，概括了旋转数的经典概念。我们的方法基于辛拓扑工具。
Abstract. We prove that, for a class of contact manifolds, the universal cover of the group of contact diffeomorphisms carries a natural partial order. It leads to a new viewpoint on geometry and dynamics of contactomorphisms. It gives rise to invariants of contactomorphisms which generalize the classical notion of the rotation number. Our approach is based on tools of Symplectic Topology.