Nearly half-flat $\mathrm{SU}(3)$-structures on $S^3\times S^3$

Ragini Singhal

We study the $\mathrm{SU}(3)$-structure induced on an oriented hypersurface of a 7-dimensional manifold with a nearly parallel ${\mathrm{G}}_2$-structure. We call such $\mathrm{SU}(3)$-structure…