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$$\zeta $$ ζ -Ricci Soliton on Real Hypersurfaces of Nearly Kaehler 6-Sphere with SSMC
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2021-03-21 , DOI: 10.1007/s00009-021-01734-4
Pooja Bansal , Mohammad Hasan Shahid , Jae Won Lee

The main intention of this paper is to study the real hypersurfaces in nearly Kaehler \(\mathbb {S}^{6}\) endowed with a semi-symmetric metric connection. We characterize the real hypersurfaces of the nearly Kaehler \(\mathbb {S}^{6}\) admitting semi-symmetric metric connection, and investigate the curvature properties of these submanifolds. Moreover, it is shown that a real hypersurface is congruent to an open segment of a totally-geodesic hypersphere or a tube over an almost complex curve in \(\mathbb {S}^{6}\) if such a connected real hypersurface of nearly Kaehler \(\mathbb {S}^{6}\) is an \(\zeta \)-Ricci soliton with the potential vector field \(\xi \).



中文翻译:

$$ \ zeta $$ζ-带有SSMC的近Kaehler 6球体实际超曲面上的Ricci孤子

本文的主要目的是研究具有半对称度量连接的近Kaehler \(\ mathbb {S} ^ {6} \)中的实际超曲面。我们表征准半对称度量连接的几乎Kaehler \(\ mathbb {S} ^ {6} \)的实际超曲面,并研究这些子流形的曲率性质。此外,还表明,如果这样连接的真实超曲面,真实超曲面与\(\ mathbb {S} ^ {6} \)中几乎复杂的曲线上的全大地超球面或管的开放段全同。几乎Kaehler \(\ mathbb {S} ^ {6} \)是一个\(\ zeta \)- Ricci孤子,其势矢量场为\(\ xi \)

更新日期:2021-03-22
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