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 \(\xi \).

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 \）。