论文标题
几乎接触歧管的扭曲产品子序列的存在和不存在
Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds
论文作者
论文摘要
本文有两个目标。首先是将几乎接触歧管的翘曲产品子延迟submanifolds的存在和不存在的结果概括,因此,提供了这种子曼属的独立参考,以节省潜在的研究的努力。本文的大多数结果都是一般和果断的,足以概括发现的结果且未发现的结果。此外,构建了Kenmotsu歧管中的触点Cr射击产品子序列的离散示例。为了进一步的研究方向,我们解决了本文的结果引起的几个开放问题。
This paper has two goals; the first is to generalize results for the existence and nonexistence of warped product submanifolds of almost contact manifolds, accordingly a self-contained reference of such submanifolds is offered to save efforts of potential research. Most of the results of this paper are general and decisive enough to generalize both discovered and not discovered results. Moreover, a discrete example of contact CR-warped product submanifold in Kenmotsu manifold is constructed. For further research direction, we addressed a couple of open problems arose from the results of this paper.