Journals Information
Universal Journal of Applied Mathematics Vol. 2(1), pp. 36 - 39
DOI: 10.13189/ujam.2014.020106
Reprint (PDF) (103Kb)
Moser's lemma and the Darboux theorem
A. Lesfari *
Department of Mathematics Faculty of Sciences, University of Choua茂b Doukkali,B.P. 20, El-Jadida, Morocco
ABSTRACT
In this paper we will give a proof of the classical Moser's lemma. Using it, we give a proof of the main Darboux theorem, which states that every point in a symplectic manifold has a neighborhood with Darboux coordinates.
KEYWORDS
Symplectic manifolds, Moser lemma, Darboux theorem
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] A. Lesfari , "Moser's lemma and the Darboux theorem," Universal Journal of Applied Mathematics, Vol. 2, No. 1, pp. 36 - 39, 2014. DOI: 10.13189/ujam.2014.020106.
(b). APA Format:
A. Lesfari (2014). Moser's lemma and the Darboux theorem. Universal Journal of Applied Mathematics, 2(1), 36 - 39. DOI: 10.13189/ujam.2014.020106.