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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 2, Pages 3–16 (Mi basm318)  

Basic cohomology attached to a basic function of foliated manifolds

Cristian Ida, Sabin Mercheşan

Department of Mathematics and Informatics, Transilvania University of Braşov, Braşov, România
References:
Abstract: 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.
Keywords and phrases: foliated manifolds, basic forms, cohomology.
Received: 13.12.2010
Revised: 09.03.2012
Bibliographic databases:
Document Type: Article
Language: English
Citation: Cristian Ida, Sabin Mercheşan, “Basic cohomology attached to a basic function of foliated manifolds”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 2, 3–16
Citation in format AMSBIB
\Bibitem{IdaMer12}
\by Cristian~Ida, Sabin~Merche{\c s}an
\paper Basic cohomology attached to a~basic function of foliated manifolds
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2012
\issue 2
\pages 3--16
\mathnet{http://mi.mathnet.ru/basm318}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3060798}
\zmath{https://zbmath.org/?q=an:06179492}
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