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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 2, Pages 3–16
(Mi basm318)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/basm318 https://www.mathnet.ru/eng/basm/y2012/i2/p3
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