Let (P,ω) be a symplectic manifold. We find an integrability condition for an implicit differential system D' which is formed by a Lagrangian submanifold in the canonical symplectic tangent bundle (TP,ὡ).
@article{bwmeta1.element.bwnjournal-article-apmv74z1p133bwm, author = {Janeczko, S.}, title = {On implicit Lagrangian differential systems}, journal = {Annales Polonici Mathematici}, volume = {75}, year = {2000}, pages = {133-141}, zbl = {0966.37029}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv74z1p133bwm} }
Janeczko, S. On implicit Lagrangian differential systems. Annales Polonici Mathematici, Tome 75 (2000) pp. 133-141. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv74z1p133bwm/
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