Real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type (Q657308)

The authors prove that there does not exist any connected Hopf real hypersurface in complex two-plane Grassmannians \(G_2(\mathbb{C}^{m+ 2})\), \(m\geq 3\), whose normal Jacobi operator is of Codazzi type if the distribution \(D\) or the \(D^\perp\)-component of the Reeb vector field is invariant under the shape operator.