A classification of cyclic Ricci semi-symmetric hypersurfaces in the complex hyperbolic quadric

초록

In this paper, the notion of cyclic Ricci semi-symmetric real hypersurfaces in the complex hyperbolic quadric Qm* = SO02,m/SO2SOm is introduced. Under the assumption of singular normal vector field N, we have two cases, that is, normal vector field N is either %-principal or %-isotropic. Even though, in the case of %-principal, we proved that there does not exist a real hypersurface in the complex hyperbolic quadric Qm* = SO02,m/SO2SOm satisfying the cyclic Ricci semi-symmetric. But on the other case, we proved existence of real hypersurfaces with the same condition.

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