In this paper, warped product in Hermitian and Kählerian manifolds was considered, and almost complex structure on the warped product is defined. Also, warped product almost Hermitian manifolds were defined. According to the holomorphic sectional curvature of Kählerian manifolds, the Einstein condition for constructed warped product Kählerian manifolds is obtained.

中文翻译：

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关于 Hermitian 和 Kählerian 流形的翘曲产品

在本文中，考虑了厄米特和凯勒流形中的翘曲产品，并定义了翘曲产品上几乎复杂的结构。此外，定义了几乎 Hermitian 流形的翘曲产品。根据Kählerian流形的全纯截面曲率，得到构造翘曲积Kählerian流形的爱因斯坦条件。