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Direct sum for basic cohomology of codimension four taut Riemannian foliation

Differential Geometry 2020-01-09 v1

Abstract

We discuss the decomposition of degree two basic cohomology for codimension four taut Riemannian foliation according to the holonomy invariant transversal almost complex structure J, and show that J is C pure and full. In addition, we obtain an estimate of the dimension of basic J-anti-invariant subgroup. These are the foliated version for the corresponding results of T. Draghici et al.

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Cite

@article{arxiv.2001.02485,
  title  = {Direct sum for basic cohomology of codimension four taut Riemannian foliation},
  author = {Jiuru Zhou},
  journal= {arXiv preprint arXiv:2001.02485},
  year   = {2020}
}

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10 pages