In the present paper, we define generalized skew semi-invariant submersion and give an example for such submersions. Necessary and sufficient conditions are given to obtain the integrability and totally geodesicness of the distributions, which are mentioned in the definition of generalized skew semi-invariant submersion. The geometry of the fibers is investigated. At the end of the paper, the generalized skew semi-invariant submersion is considered with parallel canonical structures and some results are obtained.

中文翻译：

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广义偏半不变淹没

在本文中，我们定义了广义偏斜半不变浸入式，并给出了此类浸入式的实例。给出了获得分布的可积性和整体测地性的必要和充分条件，在广义偏半不变式淹没的定义中提到了这些条件。研究了纤维的几何形状。最后，考虑了具有平行规范结构的广义偏半不变浸入式，并获得了一些结果。