We introduce the notion of a symplectic capacity relative to a coisotropic submanifold of a symplectic manifold, and we construct two examples of such capacities through modifications of the Hofer-Zehnder capacity. As a consequence, we obtain a non-squeezing theorem for symplectic embeddings relative to coisotropic constraints and existence results for leafwise chords on energy surfaces.

中文翻译：

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Coisotropic Hofer-Zehnder 容量和相对嵌入的非压缩

我们介绍了相对于辛流形的共向性子流形的辛容量的概念，并且我们通过修改 Hofer-Zehnder 容量构建了这种容量的两个例子。因此，我们获得了辛嵌入的非挤压定理，该定理相对于能量表面上的叶向弦的共向性约束和存在结果。