Abstract
There exists, in every dimension $n \geq 3$, a Lipschitz mapping of finite distortion such that the (outer) distortion satisfies $K\in L^{n-1}$ but it maps a line segment to a point.
There exists, in every dimension $n \geq 3$, a Lipschitz mapping of finite distortion such that the (outer) distortion satisfies $K\in L^{n-1}$ but it maps a line segment to a point.