Direct sum for basic cohomology of codimension four taut Riemannian foliation
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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 $C^{\infty}$ 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.~\cite{DLZ}.
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 $C^{\infty}$ 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.~\cite{DLZ}.
참고문헌 (10)
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