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The spectral sequence of the canonical foliation of a Vaisman manifold.
- Source :
-
Annals of Global Analysis & Geometry . Apr2018, Vol. 53 Issue 3, p311-329. 19p. - Publication Year :
- 2018
-
Abstract
- In this paper we investigate the spectral sequence associated with a Riemannian foliation which arises naturally on a Vaisman manifold. Using the Betti numbers of the underlying manifold we establish a lower bound for the dimension of some terms of this cohomological object. This way we obtain cohomological obstructions for two-dimensional foliations to be induced from a Vaisman structure. We show that if the foliation is quasi-regular the lower bound is realized. In the final part of the paper we discuss two examples. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0232704X
- Volume :
- 53
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Annals of Global Analysis & Geometry
- Publication Type :
- Academic Journal
- Accession number :
- 129059549
- Full Text :
- https://doi.org/10.1007/s10455-017-9579-8