We give examples of tight high dimensional contact manifolds admitting a contactomorphism whose powers are all smoothly isotopic but not contact-isotopic to the identity. This is a generalization of an observation in dimension $3$ by Gompf, also reused by Ding and Geiges.

中文翻译：

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所有维度中无限阶接触映射类的示例

我们给出了紧密的高维接触流形的例子，它承认一个接触同胚，其幂都是平滑的同位素，但不是接触同位素的同一性。这是 Gompf 对 $3$ 维度观察的概括，也被 Ding 和 Geiges 重用。