李瑾,刘西民.三维流形上的近余辛$p$-球和近余辛度量双结构[J].数学研究及应用,2021,41(3):279~290 |
三维流形上的近余辛$p$-球和近余辛度量双结构 |
Almost Cosymplectic $p$-Spheres and Almost Cosymplectic Metric Bi-Structures on Three-Manifolds |
投稿时间:2020-02-25 修订日期:2020-05-24 |
DOI:10.3770/j.issn:2095-2651.2021.03.006 |
中文关键词: 近余辛圆 近余辛球 近余辛度量双结构 |
英文关键词:almost cosymplectic circles almost cosymplectic spheres almost cosymplectic metric bi-structures |
基金项目:国家自然科学基金(Grant No.11431009). |
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中文摘要: |
本文主要研究近余辛$p$-球和近余辛度量双结构.首先给出近余辛$p$-球的性质.其次定义了近余辛度量双结构并给出其在三维流形上的相关结论.最后分析当$(1,1)$-型张量$h_1$和$h_2$满足codazzi type 和 cyclic parallel 时具有近余辛度量双结构的三维流形的性质. |
英文摘要: |
The purpose of this paper is to study almost cosymplectic $p$-spheres and almost cosymplectic metric bi-structures. Firstly, we show some properties of almost cosymplectic $p$-spheres. Then we introduce the notion of almost cosymplectic metric bi-structures and give some results on three dimensional manifolds admitting almost cosymplectic metric bi-structures. Moreover, we investigate three dimensional manifolds with almost cosymplectic metric bi-structures when the $(1, 1)$-type tensor fields $h_1$ and $h_2$ are being of codazzi type and cyclic parallel. |
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