关于几乎赫米蒂几何中斜面子曼形体的新见解

Pub Date : 2024-02-13 DOI:10.1007/s13348-024-00432-0
Adara M. Blaga
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引用次数: 0

摘要

我们提供了一个必要且充分的条件,即相对于两个反交的近乎赫米蒂结构的点斜子曼形体,相对于由它们生成的近乎赫米蒂结构族也是点斜的。另一方面,我们证明了在几乎赫米蒂流形的一类适当的点斜沉浸子流形上,点斜属性是传递性的。我们用合适的例子来说明这些结果。
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New insights on slant submanifolds in almost Hermitian geometry

We provide the necessary and sufficient condition for a pointwise slant submanifold with respect to two anti-commuting almost Hermitian structures to be also pointwise slant with respect to a family of almost Hermitian structures generated by them. On the other hand, we show that the property of being pointwise slant is transitive on a class of proper pointwise slant immersed submanifolds of almost Hermitian manifolds. We illustrate the results with suitable examples.

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