Characteristic classes and Ehresmann connections for Legendrian foliations

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: 
CAPPELLETTI MONTANO, BENIAMINO
Data di pubblicazione: 2007
Rivista: 
PUBLICATIONES MATHEMATICAE  
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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http://hdl.handle.net/11584/17315
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