대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제57권6호
  • /
  • Pages.1501-1509
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  • 2020
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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DIRECT SUM FOR BASIC COHOMOLOGY OF CODIMENSION FOUR TAUT RIEMANNIAN FOLIATION

  • Zhou, Jiuru (School of Mathematical Sciences Yangzhou University)
  • 투고 : 2020.01.07
  • 심사 : 2020.06.04
  • 발행 : 2020.11.30
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초록

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].

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참고문헌

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  3. T. Draghici, T.-J. Li, and W. Zhang, Symplectic forms and cohomology decomposition of almost complex four-manifolds, Int. Math. Res. Not. IMRN 2010, no. 1, 1-17. https://doi.org/10.1093/imrn/rnp113
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