Abstract. We find a necessary and sufficient condition for the (local) projectabil- ity of a Legendrian foliation of an almost S-manifold onto a Lagrangian foliation of a symplectic manifold. In the context of Legendrian foliations, this result will be used for proving a Darboux theorem and some results about primary and secondary char- acteristic classes. Finally we show that, under suitable assumptions, every Legendrian foliation admits an Ehresmann connection.
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Titolo: | Characteristic classes and Ehresmann connections for Legendrian foliations | |
Autori: | ||
Data di pubblicazione: | 2007 | |
Rivista: | ||
Abstract: | Abstract. We find a necessary and sufficient condition for the (local) projectabil- ity of a Legendrian foliation of an almost S-manifold onto a Lagrangian foliation of a symplectic manifold. In the context of Legendrian foliations, this result will be used for proving a Darboux theorem and some results about primary and secondary char- acteristic classes. Finally we show that, under suitable assumptions, every Legendrian foliation admits an Ehresmann connection. | |
Handle: | http://hdl.handle.net/11584/17315 | |
Tipologia: | 1.1 Articolo in rivista |
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