H-minimal Lagrangian fibrations in Kahler manifolds and minimal Lagrangian vanishing tori in Kahler-Einstein manifolds

H-minimal Lagrangian submanifolds in general K"{a}hler manifolds generalize special Lagrangian submanifolds in Calabi-Yau manifolds. In this paper we will use the deformation theory of H-minimal Lagrangian submanifolds in K"{a}hler manifolds to construct minimal Lagrangian torus in certain K"{a}hler-Einstein manifolds with negative first Chern class.