We give different notions of Liouville forms, generalized Liouville forms and vertical Liouville forms with respect to a locally trivial fibration π:E → 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.
@article{bwmeta1.element.bwnjournal-article-bcpv51z1p151bwm,
author = {Libermann, Paulette},
title = {On Liouville forms},
journal = {Banach Center Publications},
volume = {51},
year = {2000},
pages = {151-164},
zbl = {0981.53071},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p151bwm}
}
Libermann, Paulette. On Liouville forms. Banach Center Publications, Tome 51 (2000) pp. 151-164. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p151bwm/
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