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Cohomology of Lie foliations. (English) Zbl 0646.57016
Differential geometry, Proc. 5th Int. Colloq., Santiago de Compostela/Spain 1984, Res. Notes Math. 131, 211-214 (1985).
[For the entire collection see Zbl 0637.00004.]
The de Rham complex on a manifold M with a foliation $${\mathcal F}$$ becomes a filtered complex when one says that a k-form $$\omega$$ on M has filtration $$\geq a$$ if $$\omega (v_ 1,...,v_ k)=0$$ whenever $$k-a+1$$ vectors among $$v_ i's$$ are tangent to $${\mathcal F}$$. The author computes the spectral sequence of this filtered complex for Lie foliations and obtains some consequences.
Reviewer: P.Walczak

##### MSC:
 57R30 Foliations in differential topology; geometric theory 58A12 de Rham theory in global analysis 55T99 Spectral sequences in algebraic topology