Classification of Hamiltonian-stationary Lagrangian submanifolds of constant curvature in CP3 with positive relative nullity

A Lagrangian submanifold in a Kaehler manifold is said to be Hamiltonian-stationary if it is a critical point of the area functional restricted to (compactly supported) Hamiltonian variations. In this paper we classify Hamiltonian-stationary Lagrangian submanifolds of constant curvature in CP3 with positive relative nullity. As an immediate by-product, several explicit new families of Hamiltonian-stationary Lagrangian submanifolds in CP3 are obtained.