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.

Characteristic classes and Ehresmann connections for Legendrian foliations

CAPPELLETTI MONTANO, BENIAMINO
2007

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/17315
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