Real Hypersurfaces Equipped with $xi$-parallel Structure Jacobi Operator   in CP^2 or CH^2
  We study three dimensional real hypersurfaces in CP^2 and CH^2 equipped with $xi$-parallel structure Jacobi operator. We prove that they are Hopf hypersurfaces and if additional $\alpha\neq0$, we classify them. 
K. Panagiotidou and Ph. J. Xenos
math.DG