Libermann, Paulette On Liouville forms. (English) Zbl 0981.53071 Grabowski, Janusz (ed.) et al., Poisson geometry. Stanisław Zakrzewski in memoriam. Warszawa: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 51, 151-164 (2000). Summary: We give different notions of Liouville forms, generalized Liouville forms and vertical Liouville forms with respect to a locally trivial fibration \(\pi:E\to M\). These notions are linked with those of semi-basic forms and vertical forms. We study the infinitesimal automorphisms of these forms; we also investigate the relations with momentum maps.For the entire collection see [Zbl 0936.00035]. MSC: 53D05 Symplectic manifolds (general theory) 70H05 Hamilton’s equations 53D17 Poisson manifolds; Poisson groupoids and algebroids 53D20 Momentum maps; symplectic reduction Keywords:generalized Liouville forms; vertical Liouville forms; locally trivial fibration; infinitesimal automorphisms; momentum maps PDFBibTeX XMLCite \textit{P. Libermann}, Banach Cent. Publ. 51, 151--164 (2000; Zbl 0981.53071) Full Text: EuDML Link