Geodesic
Basic cohomology attached to a basic function of foliated manifolds
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2012), pp. 3-16 
Cristian Ida; Sabin Mercheşan. Basic cohomology attached to a basic function of foliated manifolds. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2012), pp. 3-16. http://geodesic.mathdoc.fr/item/BASM_2012_2_a0/
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     title = {Basic cohomology attached to a~basic function of foliated manifolds},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we study a basic cohomology attached to a basic function of foliated manifolds and in particular, of transversely holomorphic foliations. We also explain how this cohomology depends on the basic function and we study a relative cohomology and a Mayer-Vietoris sequence related to this cohomology. Also, a basic Lichnerowicz cohomology attached to a basic function of a foliated manifold is studied.

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