Deformations in \(G_{2}\) manifolds (Q2474316)

The authors study deformations of associative submanifolds inside a \(G_2\) manifold \(M^7\) with a calibration 3-form \(\varphi\). In the present paper all cited results, as well as the new ones about \(G_2\) manifolds are proved by using only the cross product operation (equivalently \(\varphi\)). The approach in their paper makes things easier and keeps the presentation elementary.