\(\overline{\partial}\)-free maps satisfy the homotopy principle (Q1279770)

Using Gromov's method of convex integration the author proves that the space of all \(\bar\partial\)-free maps of any complex manifold \(V\) in \(\mathbb{C}^n\) is homotopically equivalent to the space of all sections of the corresponding bundle in the space of jets of smooth maps \(f:V\to \mathbb{C}^n\).