Real divergence-free Jacobian maps are shear maps

TL;DR

This paper proves that divergence-free Jacobian maps are equivalent to shear maps, simplifying their classification and understanding in mathematical analysis.

Contribution

The paper establishes that divergence-free Jacobian maps are precisely shear maps, providing a new perspective and simplifying their study.

Findings

Divergence-free Jacobian maps are shear maps

Simplifies the classification of such maps

Provides new insights into their structure

Abstract

We show that divergence-free jacobian maps, recently considered in \cite{N}, \cite{S}, are actually shear maps.