New characterizations of ruled real hypersurfaces in complex projective space

Abstract We consider real hypersurfaces M in complex projective space equipped with both the Levi–Civita and generalized Tanaka–Webster connections. For any nonnull constant k symmetric tensor field of type (1, 1) L on , we can define two fields 2) $$L_F^{(k)}$$ L F ( k ) $$L_T^{(k)}$$ T related to study behaviour structure operator $$\phi $$ ϕ respect such particular case $$L=A$$ = A shape obtain some new characterizations ruled space.