In this paper we study coisotropic reduction in different types of dynamics according to the geometry of the corresponding phase space. The relevance of coisotropic reduction is motivated by the fact that these dynamics can always be interpreted as Lagrangian or Legendrian submanifolds. Furthermore, Lagrangian or Legendrian submanifolds can be reduced by a coisotropic one.

中文翻译：

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辛、共辛、接触和共接触哈密顿系统中的各向同性约简综述

在本文中，我们根据相应相空间的几何形状研究不同类型动力学中的各向同性约简。各向同性还原的相关性源于以下事实：这些动力学始终可以解释为拉格朗日或勒让德子流形。此外，拉格朗日或勒让德子流形可以通过各向同性子流形来简化。