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DIRECT SUM FOR BASIC COHOMOLOGY OF CODIMENSION FOUR TAUT RIEMANNIAN FOLIATION

  • Zhou, Jiuru (School of Mathematical Sciences Yangzhou University)
  • Received : 2020.01.07
  • Accepted : 2020.06.04
  • Published : 2020.11.30

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. [3].

Keywords

References

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