关于几乎赫米蒂几何中斜面子曼形体的新见解

IF 0.7 2区数学 Q2 MATHEMATICS

Collectanea Mathematica 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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来源期刊

Collectanea Mathematica 数学-数学

CiteScore

2.70

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： Collectanea Mathematica publishes original research peer reviewed papers of high quality in all fields of pure and applied mathematics. It is an international journal of the University of Barcelona and the oldest mathematical journal in Spain. It was founded in 1948 by José M. Orts. Previously self-published by the Institut de Matemàtica (IMUB) of the Universitat de Barcelona, as of 2011 it is published by Springer.