Jacobians with prescribed eigenvectors

Michael Benfield, Helge Kristian Jenssen, Irina A. Kogan

Let $\Omega \subset {\mathbb{R}}^n$ be open and let $\mathcal{R}$ be a partial frame on $\Omega$, that is a set of $m$ linearly independent vector fields prescribed on $\Omega$ ($m\le n$). We consi…