Lagrangian submanifolds in the nearly kaehler $s^3 \times s^3$
  In this paper, we investigate Lagrangian submanifolds in the nearly Kaehler $S^3 \times S^3$. We construct a new example which is a at Lagrangian torus. We give a complete classification of all the Lagrangian immersions of spaces of constant sectional curvature in the nearly Kaehler $S^3\times S^3$. 
Bart Dioos, Luc Vrancken, Xianfeng Wang
math.DG