On two tensors associated to the structure Jacobi operator of a real hypersurface in complex projective space

Abstract A real hypersurface M in a complex projective space inherits an almost contact metric structure from the Kählerian of ambient space. This allows us to define, for any nonzero number k , so-called -th generalized Tanaka–Webster connection. With this connection and Levi-Civita one we can associate two tensors type (1,2) Jacobi operator $$R_{\xi }$$ R ξ . We classify hypersurfaces which such satisfy cyclic property.