We study the interplay between CR structures on real Lie algebras and $\mathcal{G}$-Lie foliations (in the sense of E. Fedida [4]). We show that the transverse Kohn-Rossi cohomology of a complete $\mathcal{G}$-Lie foliation $\mathcal{F}$ with transverse CR structure and dense leaves is isomorphic to the Kohn-Rossi dohomology of the structural Lie algebra of $\mathcal{F}$. We classify (up to homotopy) the $f$-structures in the normal bundle of a $\mathcal{G}$-Lie foliation.

### On {\em G}-Lie foliations with transverse CR structure

#### Abstract

We study the interplay between CR structures on real Lie algebras and $\mathcal{G}$-Lie foliations (in the sense of E. Fedida [4]). We show that the transverse Kohn-Rossi cohomology of a complete $\mathcal{G}$-Lie foliation $\mathcal{F}$ with transverse CR structure and dense leaves is isomorphic to the Kohn-Rossi dohomology of the structural Lie algebra of $\mathcal{F}$. We classify (up to homotopy) the $f$-structures in the normal bundle of a $\mathcal{G}$-Lie foliation.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/3102
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