Geodesic
Real Jacobian mates
Janusz Gwoździewicz1
1 Institute of Mathematics Pedagogical University of Cracow Podchorążych 2 30-084 Kraków, Poland
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.
DOI : 10.4064/ap3740-8-2016
Keywords: real polynomial variables say polynomial nbsp real jacobian mate jacobian determinant mapping mathbb mathbb vanishes nowhere present class polynomials have real jacobian mates

Janusz Gwoździewicz 1

1 Institute of Mathematics Pedagogical University of Cracow Podchorążych 2 30-084 Kraków, Poland 
@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/}
}
TY  - JOUR
AU  - Janusz Gwoździewicz
TI  - Real Jacobian mates
JO  - Annales Polonici Mathematici
PY  - 2016
SP  - 207
EP  - 213
VL  - 117
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap3740-8-2016/
DO  - 10.4064/ap3740-8-2016
LA  - en
ID  - 10_4064_ap3740_8_2016
ER  - 
%0 Journal Article
%A Janusz Gwoździewicz
%T Real Jacobian mates
%J Annales Polonici Mathematici
%D 2016
%P 207-213
%V 117
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap3740-8-2016/
%R 10.4064/ap3740-8-2016
%G en
%F 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. http://geodesic.mathdoc.fr/articles/10.4064/ap3740-8-2016/

Cité par Sources :