Real Jacobian mates
Volume 117 / 2016
Annales Polonici Mathematici 117 (2016), 207-213
MSC: Primary 14R15; Secondary 14R25.
DOI: 10.4064/ap3740-8-2016
Published online: 9 September 2016
Abstract
Let $p$ be a real polynomial in two variables. We say that a polynomial $q$ is a real Jacobian mate of $p$ if the Jacobian determinant of the mapping $(p,q):\mathbb {R}^2\to \mathbb {R}^2$ vanishes nowhere. We present a class of polynomials that do not have real Jacobian mates.
