The spectral sequence of the canonical foliation of a Vaisman manifold
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 cohom...
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| Veröffentlicht in: | Annals of global analysis and geometry 2018-04, Vol.53 (3), p.311-329 |
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| container_title | Annals of global analysis and geometry |
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| creator | Ornea, Liviu Slesar, Vladimir |
| description | 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. |
| doi_str_mv | 10.1007/s10455-017-9579-8 |
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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. 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| issn | 0232-704X 1572-9060 |
| language | eng |
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| subjects | Analysis Differential Geometry Geometry Global Analysis and Analysis on Manifolds Manifolds (mathematics) Mathematical Physics Mathematics Mathematics and Statistics Obstructions |
| title | The spectral sequence of the canonical foliation of a Vaisman manifold |
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