In this article we show that in any dimension there exist infinitely many pairs of formally contact isotopic isocontact embeddings into the standard contact sphere which are not contact isotopic. This is the first example of rigidity for contact submanifolds in higher dimensions. The contact embeddings are constructed via contact push-offs of higher-dimensional Legendrian submanifolds, a construction that generalizes the union of the positive and negative transverse push-offs of a Legendrian knot to higher dimensions.

中文翻译：

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在所有更高维度上，Isocontact嵌入的不简单性

在本文中，我们表明，在任何维度上，都存在着无数对成对的标准接触球体形式的非正规同位素接触形式的同位素同位素接触。这是高尺寸接触子歧管刚度的第一个例子。接触嵌入是通过高维Legendrian子流形的接触支点构造的，该结构将Legendrian结的正向和负向横向支点的并集推广到更高的维度。