Characteristic classes and Ehresmann connections for Legendrian foliations
CAPPELLETTI MONTANO, BENIAMINO
2007-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.