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Hypersurfaces in nearly Kaehler manifold $\mathbb{S}^3\times \mathbb{S}^3$
Research Article Volume 127 Issue 4 September 2017 pp 707-717
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Fulltext
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Permanent link:
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 $\mathbb{S}^3\times \mathbb{S}^3$.
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Author Affiliations
- School of Mathematics and Computer Science, Fujian Normal University, Qishan Campus, Fuzhou 350117, People’s Republic of China
- Math Teaching and Research Group, Zhangzhou Branch Campus of Xiamen Shuangshi Middle School, Zhangzhou 363107, People’s Republic of China
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Dates
- Published
- 1 September 2017
- Manuscript received
- 14 May 2014
- Manuscript revised
- 25 January 2016
- Accepted
- 6 May 2016
- Early published
- Unedited version published online
- Final version published online
- 8 August 2017
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Proceedings – Mathematical Sciences
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