On some hypersurfaces of the homogeneous nearly Kähler S3×S3

Zejun Hu, Zeke Yao and Yinshan Zhang

Mathematische Nachrichten, 2018, vol. 291, issue 2-3, 343-373

Abstract: In this paper, we study hypersurfaces of the homogeneous nearly Kähler manifold S3×S3 with typical properties. We first show that in the NK S3×S3 there exist neither totally umbilical hypersurfaces nor hypersurfaces of parallel second fundamental form. Then we investigate hypersurfaces of S3×S3 such that its shape operator A and induced almost contact structure ϕ satisfy the condition Aϕ=ϕA, and as the main result, a complete classification of this remarkable family of hypersurfaces in S3×S3 is presented.

Date: 2018
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https://doi.org/10.1002/mana.201600398

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:291:y:2018:i:2-3:p:343-373

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