Associative Submanifolds of Squashed 3-Sasakian Manifolds

Gavin Ball, Jesse Madnick

Every compact 3-Sasakian 7-manifold $M$ admits a canonical 2-parameter family of co-closed ${\text{G}}_2$-structures ${\phi }_{a,b}$ for $a,b>0$, as well as a foliation by ${\phi }_{a,b}$-asso…