Real Jacobian mates
Annales Polonici Mathematici, Tome 117 (2016) no. 3, pp. 207-213
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
real polynomial variables say polynomial nbsp real jacobian mate jacobian determinant mapping mathbb mathbb vanishes nowhere present class polynomials have real jacobian mates
Affiliations des auteurs :
Janusz Gwoździewicz 1
@article{10_4064_ap3740_8_2016,
author = {Janusz Gwo\'zdziewicz},
title = {Real {Jacobian} mates},
journal = {Annales Polonici Mathematici},
pages = {207--213},
publisher = {mathdoc},
volume = {117},
number = {3},
year = {2016},
doi = {10.4064/ap3740-8-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap3740-8-2016/}
}
Janusz Gwoździewicz. Real Jacobian mates. Annales Polonici Mathematici, Tome 117 (2016) no. 3, pp. 207-213. doi: 10.4064/ap3740-8-2016
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