We introduce and study the notion of contact dual pair adopting a line bundle approach to contact and Jacobi geometry. A contact dual pair is a pair of Jacobi morphisms defined on the same contact manifold and satisfying a certain orthogonality condition. Contact groupoids and contact reduction are the main sources of examples. Among other properties, we prove the Characteristic Leaf Correspondence Theorem for contact dual pairs which parallels the analogous result of Weinstein for symplectic dual pairs.

中文翻译：

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接触双对

我们介绍并研究了接触对偶的概念，采用线丛方法处理接触和雅可比几何。接触对偶是定义在同一接触流形上并满足一定正交条件的一对雅可比态射。Contact groupoids 和 contact reduction 是例子的主要来源。在其他性质中，我们证明了接触对偶的特征叶对应定理，它与温斯坦对辛对偶的类似结果相似。