On isotropic Lagrangian submanifolds in the homogeneous nearly Kähler ${\mathbb{S}}^3\times {\mathbb{S}}^3$

Zejun Hu, Yinshan Zhang

In this paper, we show that isotropic Lagrangian submanifolds in a $6$-dimensional strict nearly Kähler manifold are totally geodesic. Moreover, under some weaker conditions, a com…