In this paper, we investigate any non-invariant submanifold of a locally decomposable golden Riemannian manifold in the case that the rank of the set of tangent vector fields of the induced structure on the submanifold by the golden structure of the ambient manifold is less than or equal to the codimension of the submanifold.

中文翻译：

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局部可分解的黄金黎曼流形的非不变子流形

在本文中，如果环境歧管的黄金结构在子流形上的诱导结构的切向量场的集的秩小于或，则我们研究局部可分解的黄金黎曼流形的任何非不变子流形。等于子流形的余维。