Lagrangian submanifolds in the nearly kaehler $s^3\times s^3$

Abstract

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 $S^3\times S^3$.