• Hypersurfaces in nearly Kaehler manifold $\mathbb{S}^3\times \mathbb{S}^3$

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      https://www.ias.ac.in/article/fulltext/pmsc/127/04/0707-0717

    • Keywords

       

      Nearly Kaehler manifold; contact hypersurface; contact metric structure; minimal hypersurface; shape operator; conformal vector field

    • Abstract

       

      In this paper, we initiate the study of contact and minimal hypersurfaces in nearly Kaehler manifold $\mathbb{S}^3\times \mathbb{S}^3$ with a conformal vector field. There are three almost contact metric structures on a hypersurface of $\mathbb{S}^3\times \mathbb{S}^3$, and we will give some important properties of them. Besides, we study the influence of the conformal vector field on the almost contact metric structures and use it to characterize the hypersurfaces in $\mathbb{S}^3\times \mathbb{S}^3$.

    • Author Affiliations

       

      BIAOGUI YANG1 QINGQING ZHU2

      1. School of Mathematics and Computer Science, Fujian Normal University, Qishan Campus, Fuzhou 350117, People’s Republic of China
      2. Math Teaching and Research Group, Zhangzhou Branch Campus of Xiamen Shuangshi Middle School, Zhangzhou 363107, People’s Republic of China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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