[Remarques sur l'invariance symplectique des ensembles d'Aubry–Mather]
On discute et clarifie quelques questions liées à la généralisation du théorème de Bernard sur l'invariance symplectique des ensembles d'Aubry, de Mather et de Mañé aux cas de classes de cohomologie non nulles et de symplectomorphismes non exacts et non nécessairement homotopes à l'identité.
In this note, we discuss and clarify some issues related to the generalization of Bernard's theorem on the symplectic invariance of Aubry, Mather and Mañé sets, to the cases of non-zero cohomology classes or non-exact symplectomorphisms, not necessarily homotopic to the identity.
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@article{CRMATH_2016__354_4_419_0,
author = {Mazzucchelli, Marco and Sorrentino, Alfonso},
title = {Remarks on the symplectic invariance of {Aubry{\textendash}Mather} sets},
journal = {Comptes Rendus. Math\'ematique},
pages = {419--423},
publisher = {Elsevier},
volume = {354},
number = {4},
year = {2016},
doi = {10.1016/j.crma.2016.01.001},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2016.01.001/}
}
TY - JOUR AU - Mazzucchelli, Marco AU - Sorrentino, Alfonso TI - Remarks on the symplectic invariance of Aubry–Mather sets JO - Comptes Rendus. Mathématique PY - 2016 SP - 419 EP - 423 VL - 354 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2016.01.001/ DO - 10.1016/j.crma.2016.01.001 LA - en ID - CRMATH_2016__354_4_419_0 ER -
%0 Journal Article %A Mazzucchelli, Marco %A Sorrentino, Alfonso %T Remarks on the symplectic invariance of Aubry–Mather sets %J Comptes Rendus. Mathématique %D 2016 %P 419-423 %V 354 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2016.01.001/ %R 10.1016/j.crma.2016.01.001 %G en %F CRMATH_2016__354_4_419_0
Mazzucchelli, Marco; Sorrentino, Alfonso. Remarks on the symplectic invariance of Aubry–Mather sets. Comptes Rendus. Mathématique, Tome 354 (2016) no. 4, pp. 419-423. doi : 10.1016/j.crma.2016.01.001. http://www.numdam.org/articles/10.1016/j.crma.2016.01.001/
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