Geodesic
Commutativity of flows and injectivity of nonsingular mappings
M. Sabatini1
1 Dipartimento di Matematica Università di Trento I-38050 Povo (TN), Italy
Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 159-168.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A relationship between jacobian maps and the commutativity properties of suitable couples of hamiltonian vector fields is studied. A theorem by Meisters and Olech is extended to the nonpolynomial case. A property implying the Jacobian Conjecture in ${\mathbb R}^2$ is described.
DOI : 10.4064/ap76-1-16
Keywords: relationship between jacobian maps commutativity properties suitable couples hamiltonian vector fields studied theorem meisters olech extended nonpolynomial property implying jacobian conjecture mathbb described

M. Sabatini 1

1 Dipartimento di Matematica Università di Trento I-38050 Povo (TN), Italy 
@article{10_4064_ap76_1_16,
     author = {M. Sabatini},
     title = {Commutativity of flows and
injectivity of nonsingular mappings},
     journal = {Annales Polonici Mathematici},
     pages = {159--168},
     publisher = {mathdoc},
     volume = {76},
     number = {1-2},
     year = {2001},
     doi = {10.4064/ap76-1-16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-16/}
}
TY  - JOUR
AU  - M. Sabatini
TI  - Commutativity of flows and
injectivity of nonsingular mappings
JO  - Annales Polonici Mathematici
PY  - 2001
SP  - 159
EP  - 168
VL  - 76
IS  - 1-2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-16/
DO  - 10.4064/ap76-1-16
LA  - en
ID  - 10_4064_ap76_1_16
ER  - 
%0 Journal Article
%A M. Sabatini
%T Commutativity of flows and
injectivity of nonsingular mappings
%J Annales Polonici Mathematici
%D 2001
%P 159-168
%V 76
%N 1-2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-16/
%R 10.4064/ap76-1-16
%G en
%F 10_4064_ap76_1_16
M. Sabatini. Commutativity of flows and
injectivity of nonsingular mappings. Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 159-168. doi : 10.4064/ap76-1-16. http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-16/

Cité par Sources :