The structure Jacobi operator and the shape operator of real hypersurfaces in CP^{2} and CH^{2}

This paper presents two results conserning real hypersurfaces in CP^{2} and CH^{2}. More precisely, it is proved that real hypersurfaces equipped with structure Jacobi operator satisfying condition ${\mathcal{L}}_{X}l={\mathrm{\nabla }}_{X}l$, where \emph{X} is a vector field orthogonal to structure vector field $\xi$, do not exist. Additional real hypersurfaces equipped with shape operator \emph{A} satisfying relation ${\mathcal{L}}_{X}A={\mathrm{\nabla }}_{X}A$, where \emph{X} is a vector field orthogonal to $\xi$, do not exist.